If a cylinder with height 9 inches and radius rr is filled with water, it can fill a certain pitcher. How many of these pitchers can a cylinder with height 9 inches and radius 3r3r fill?

Answers

Answer 1

Answer:

9 pitchers

Step-by-step explanation:

Given

Cylinder 1:

[tex]Radius = r[/tex]

[tex]Height = 9[/tex]

Cylinder 2:

[tex]Radius = 3r[/tex]

[tex]Height = 9[/tex]

Required

How many pitchers' cylinder 2 can fill

First, we calculate the volume of both cylinders

Volume is calculated as:

[tex]Volume = \pi r^2h[/tex]

For A:

[tex]V_A = \pi r^2*9[/tex]

[tex]V_A = 9\pi r^2[/tex]

For B:

[tex]V_B = \pi (3r)^2 * 9[/tex]

[tex]V_B = \pi *9r^2 * 9[/tex]

[tex]V_B = 9* 9\pi r^2[/tex]

In (a): [tex]V_A = 9\pi r^2[/tex]

So, we have ve:

[tex]V_B = 9*V_A[/tex]

[tex]V_B = 9V_A[/tex]

If the first cylinder can fill 1, then the second can fill 9 pitchers


Related Questions

A computer game designer uses the function f(x) = 4(x - 2)2 + 6 to model the path of the fish The horizontal path of
the squid intersects the path of the fish. At what other point does the squid's path intersect the path of the fish?

Answers

Answer:

(-1,42)

Step-by-step explanation:

ahaha i got it wrong then it told me the actual answer

At point (5, 42), the squid's path intersect the path of the fish

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

We are given a computer game designer who uses the function;

f(x) = 4(x - 2)² + 6

Since the function f(x) = 4(x - 2)² + 6 to model the path of the fish The horizontal path of the squid intersects the path of the fish.

When x = 5

f(x) = 4(x - 2)² + 6

f(x) = 4(5 - 2)² + 6

f(x) = 36 + 6

f(x) = 42

To know more about an expression follow;

brainly.com/question/19876186

#SPJ2

Which is greater, 0.024 or 0.102? How did you get answer?

Answers

Answer:

0.102

Step-by-step explanation:

because 0.102-0.024>0, meaning it has more. also the second number has a . tenth while the first number has 2 hundreths, which is smaller

Answer:

0.102

Step-by-step explanation:

Because 0.024 and 0.102 is compared by digits first digit of THEM both is 0 and its equal second digit is 0 and 1 so 1 is greater than 0 because of the 1 on the 0.102 it is greater

Help plzzz!! Marking most Brainly;)

Answers

Answer:

D it

Step-by-step explanation:

We have two equations, A quadratic and a linear equation.

The domain of a linear equation and quadratic equation is all real numbers but since it dealing with time we must make sure the roots or x-intercepts is positive.

Looking at the quadratic equation, we can use the discramnt formula to see if all roots are positve.

[tex]b {}^{2} - 4ac [/tex]

[tex] { - 6}^{2} - 4(1)(8.75)[/tex]

[tex]36 - 35 = 1[/tex]

The discramnt is greater than zero so there is two distinct real roots. So let check if they are positve

If you graph the equation, it intercepts at two positve roots so it is D

Which equation is equivalent to
4
1
+x=-
? Select all that apply.
4
6
X
6
X=
4
3
--
4 4
3
2
3
4.
) Intro

Answers

Answer:

3 and 2 r equivalent i belive

The expression below represents the vertical height above the ground, in meters, of a roller coaster when it is x meters away from the starting station.

x^2+6x=15

Which statement best describes the term 15?


the maximum height of the roller coaster

the horizontal distance from the station when the roller coaster is at its maximum height

the velocity of the roller coaster

the initial height of the roller coaster

Answers

Answer:

D.) the initial height of the roller coaster

Step-by-step explanation:

Answer:

the initial height of the roller coaster

Step-by-step explanation:

1. The temperature of a body rises from -6°c to 5°c. By how much degrees does it rises?

Answers

It rises 11 degrees

Step by step explanation

Find the vertex of the graph of the quadratic function f(x)=7x2+14x+10

Answers

Answer:

plazzz get lost bro fast

A carpenter needs to cut a 5 foot, 8 inch piece of wood from an 8-foot board to make a repair to a door. How many inches of wood will he have left after he makes the cut and repairs the cut and repairs the door?

Answers

Answer:

Step-by-step explanation:

1 foot = 12 inches

length of board in inches = 8 ft × (12 in)/ft = 96 in

length of cut in inches = 5 ft + 8 in = 5 ft × (12 in)/ft + 8 in = 60 in + 8 in =  68 in.

96 - 68 = 28 inches left

HURRY
1.3(2x + 4) + 2(3x – 4)
2. Evaluate the expression for x=5

Answers

Answer:

According to my evaluations this equation is very petty and most likely has an answer. There are variables and numbers "3x". This part of the equation makes me feel special because 3 is a prime number. It is also mysterious because we dont know for sure what x is. This equation teaches the mathematician the true meaning of life. As it demonstrates the complexity, the information you know for sure and the information that you will learn in the future. The reader will also learn that not all problems can be solved and the ones that can be solved should be solved with varying difficulty. Finally the individual will realize that everyone has their own method to solve problems and go about life. In conclusion, this pretty equation teaches the mathematician about the importance of hard work and acceptance of everyone in their community.

Answer:

8.6x-2.8

Step-by-step explanation:

Also i feel like ik u from school or something.

There was this girl who had the exact last name and first name

Solve the equation x-20.7=9.5 for x

Answers

The answer will come out to 30.2
x= 30.2, solve by isolating x.
x= 20.7 + 9.5

The smallest angle of a triangle is measure x degrees. The second angle is 45 degrees more than the smallest angle. The third angle is three times larger as the smallest angle. Write algebraic expression to express measures of the second and third angles of the triangle.

Answers

Answer:

Smallest angle = 27°

Second angle = 72°

Third angle = 81°

Step-by-step explanation:

Given:

In triangle

Smallest angle = x

Second angle = x + 45

Third angle = 3x

Find:

All angle

Computation:

Using angle sum property

x + x + 45 + 3x = 180

5x + 45 = 180

x = 27

Smallest angle = 27°

Second angle = x + 45

Second angle = 27 + 45

Second angle = 72°

Third angle = 3x

Third angle = 3(27)

Third angle = 81°

Lightening Energy Drink has 15.2 calories per fluid ounce. If Jeremy drinks two 12 ounce of Lightening Energy Drinks, then how much calories Dias he consume? Must show work

Answers

Answer:

15.2*12=182.4

Step-by-step explanation:

Solve this system using Substitution
y=5
y=-2x+3​

Answers

Answer:

x = -1

Step-by-step explanation:

-2x+3 = 5

subtract 3 on both sides: -2x = 2

divide both sides by -2: x = -1

write the following integers in ascending order (smallest to biggest).1._5,2,1,_8 2. _4,_3,_5,2 3._10,_15,-7​

Answers

Answer:

1. -8 , -5 , 1 , 2

2: -5, -4 , -3 , 2

3: -15, -10, -7

Step-by-step explanation:

Given

1. -5, 2, 1, -8

2. -4, -3, -5, 2

3. -10, -15,-7​

Required

Sort in ascending order

To write in ascending order, means that the number must increase from left to right.

So, we have:

1. -5, 2, 1, -8

From left to right, we have:

[tex]-8 < -5 < 1 < 2[/tex]

Hence, the sorted list: -8 , -5 , 1 , 2

2. -4, -3, -5, 2

From left to right, we have:

[tex]-5 < -4 < -3 < 2[/tex]

Hence, the sorted list: -5, -4 , -3 , 2

3. -10, -15,-7​

From left to right, we have:

[tex]-15 < -10 < -7[/tex]

Hence, the sorted list: -15, -10, -7

Solve the proportion:
-9/6 = 3/x

Answers

Answer:

-2

Step-by-step explanation:

Carla draws two rectangles.
One of the rectangles has an area of 35 square inches.
The other has a perimeter of 20 inches
Select the two rectangles that could be the rectangles Carla draws
A rectangle with a width of 2 inches and a length of 6 inches
A rectangle with a width of 2 inches and a length of 8 inches
A rectangle with a width of 4 inches and a length of 6 inches
A rectangle with a width of 5 inches and a length of 7 inches
A rectangle with a width of 6 inches and a length of 10 inches

Answers

Answer:

A rectangle with a width of 5 inches and a length of 7 inches.

A rectangle with a width of 4 inches and a length of 6 inches

Step-by-step explanation:

Find the missing side length. Round to the nearest tenth.


Can someone PLEASE HELP!!

Answers

Answer:

the answer is 17.0 or just 17

Step-by-step explanation:

you have to use the pythagorean theorem, a^2 + b^2 = c^2

a = 11 and b = 13

11^2 + 13^2 = c^2

121 + 169 = c^2

290 = c^2

square root each side, so you have to find the square root of 290 which is 17.0293864

round it to the nearest tenth which is 17.0 but you can just write 17

hope this helps you understand it and answer it :)

Answer:

[tex]\boxed {\boxed {\sf c \approx 17.0}}[/tex]

Step-by-step explanation:

This is a right triangle because of the small square in the corner. Therefore, we can use the Pythagorean Theorem.

[tex]a^2+b^2=c^2[/tex]

Where a and b are the legs and c is the hypotenuse.

In this triangle, 11 and 13 are the legs because they make up the right angle. The missing side is the hypotenuse because it is opposite the right angle.

[tex]a=11\\b= 13[/tex]

[tex](11)^2+(13)^2=c^2[/tex]

Solve the exponents.

11²= 11*11=12113²= 13*13=169

[tex]121+169=c^2[/tex]

Add.

[tex]289=c^2[/tex]

We are trying to solve for c, so we must isolate the variable. It is being squared. The inverse of a square is the square root, so take the square root of both sides.

[tex]\sqrt {289}= \sqrt {c^2}[/tex]

[tex]17.0293864=c[/tex]

Round to the nearest tenth. The 2 in the hundredth place tells us to leave the 0 in the tenth place.

[tex]17.0 \approx c[/tex]

The missing side is approximately 17.0

Eight hundred fifty two thousand, six hundred seventy four and thirty five hundredths in numbers​

Answers

Answer:

Number = 857674.35

Step-by-step explanation:

Translating the word problem into a numerical format;

Eight hundred and fifty two thousand = 852,000

Six hundred and seventy four = 674

Thirty five hundredths = 35/100 = 0.35

Now, we would add all of the values together.

Number = 852,000 + 674 + 0.35

Number = 857674.35

NEED HELP ASAP!!!!!!!

Answers

Step-by-step explanation:

It's must be -3 ...............

Sara had fourteen peaches and forty pears left at her roadside fruit
stand. She went to the orchard and picked more peaches to stock up the
stand. There are now eighty-one peaches at the stand, how many did
she pick ?

Answers

Answer:

67

Step-by-step explanation:

she picked 67 because if you take how many she had at the end and subtract it from the starting number it gives you 67

Write the fraction in simplest form. *
8/12

Answers

Answer:

2/3

Explanation:

/////////////

Can someone please help me with my homework

Answers

Answer:

Do not use, there's still one more piece of the puzzle missing.

X =

Step-by-step explanation:

Lets look everything over and compare the corresponding parts of the 2 triangles.

One side of each is shared between the two triangles.

Another side of each triangle is 13 on each triangle.

The included angle of one triangle is 80 degrees and the other is 110 degrees.

If y varies directly as x and y =6 when x =2 ... find y when x=9

Answers

Answer:

27

Step-by-step explanation:

y = kx, where k is the constant of proportionality.  If x = 2 and y = 6, that constant is determined as follows:

6 = k(2), or k = 3.  Then y = 3x.  When x = 9, y = 27

A piece of paper has an area of 93.5 square inches. How many times does it need to be folded in half before the area is less than 1 square inch? Explain how you know.

Answers

Answer:

7 times.

Step-by-step explanation:

Keep dividing 93.5 by 2 until it becomes less than 1.

The sheet needs to be folded in half 7 times.

Since the area of the piece of paper is 93.5 square inches, and we need to fold the sheet in half it 'n' times  to get an area less than 1 square inch. This is written mathematically as 93.5(1/2)ⁿ ≤ 1.

So, dividing through by 93.5, we have

(1/2)ⁿ ≤ 1/93.5

(1/2)ⁿ ≤ 0.0107

taking natural logarithm of both sides, we have

㏑(1/2)ⁿ ≤ ㏑0.0107

n㏑(1/2) ≤ ㏑(0.0107)

n ≤ ㏑(0.0107)/㏑(1/2)

n ≤ -4.538/-0.693

n ≤ 6.55

Rounding up to the nearest whole number,

n ≅ 7

So, the sheet needs to be folded in half 7 times.

Learn more about paper folding here:

https://brainly.com/question/16926437

Multiply the following complex numbers. Reduce terms and simplify. Explain how your simplified result and the first term in the pair below are related algebraically to each other and to the complex number (1 + i).

1 1 - i
_____ * _____
1 + i 1 - i

Answers

Answer:

= 1/2 - 1/2i

Step-by-step explanation:

Write the phrase as an algebraic expression: The product of a number m and three.

Answers

Answer:

3m

Step-by-step explanation:

Product means multiplication, so you're multiplying 3 with m.

(x-4)^2=25 by taking the square root

Answers

Answer:

x = -1, 9

Step-by-step explanation:

[tex](x-4)^2=25\\x-4=\sqrt{25}\\[/tex]

x - 4 = ±5 (positive or negative 5, because (-5)^2 = 25)

x - 4 = 5

x = 9

or

x - 4  = -5

x = -1

x = -1, 9

What is the first step in solving 5x-2=3

Answers

Answer:

5x-2=3

5x=3+2

5x=5

x=5÷5

x=1


PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.

Answers

Answer:

First option

Step-by-step explanation:

Biotechnology contains genetic manipulation and agricultural purposes, so growing crops in areas they usually do not grow would be a positive use of biotechnology.

I hope you get the problem right.

De acuerdo a la siguiente imagen, selecciona la opción que muestre la operación que permite llegar al número encerrado en color rojo.



Answers

Answer:

2?

Step-by-step explanation:

I think im wrong/ creo que estoy mal?!

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