Helppp pleaseeeee The object below is made of solid plastic. It is a cylinder with an indentation at the top in the shape of a cone.What is the volume, to the nearest tenth of a cubic inch, of the plastic object? Explain your answer.

Helppp Pleaseeeee The Object Below Is Made Of Solid Plastic. It Is A Cylinder With An Indentation At

Answers

Answer 1

Answer:

Total volume = (145/3)π in³

Step-by-step explanation:

First find the volume of the entire cylinder.  The correct formula to use here is:

V = πr²h, where r is the radius and h is the height.  Here, with the radius being 5/2 inches and the height being 8 inches, the cylinder volume is

V = π(2.5 in)²(8 in) = 50π in³

Next find the volume of the conical shape:  V = (1/3)π(2.5 in)²(0.8 in)

The desired volume is equal to the volume of the entire cylinder LESS the volume of the cone:

π(2.5 in)²(8 in) = 50π in³  LESS  (1/3)π(2.5 in)²(0.8 in), which simplifies as follows:

Total volume =

50 π in³ -  (1/3)π(2.5 in)²(0.8 in), or

(2.5 in)²π[8 in - 0.8/3 in] =  π(6.25 in²)(8 in - 8/30 in) = π( 6.25 in²)(116/15 in), or

Total volume = (145/3)π in³


Related Questions

Last question! I need help with showing my work! I already have the answer in the attached image below, thanks!

Answers

Answer:

see explanation

Step-by-step explanation:

Given

[tex]\sqrt{\frac{4x^2}{3y} }[/tex]

= [tex]\frac{\sqrt{4x^2} }{\sqrt{3y} }[/tex]

= [tex]\frac{2x}{\sqrt{3y} }[/tex]

Rationalise the denominator by multiplying the numerator/ denominator by [tex]\sqrt{3y}[/tex]

Note that [tex]\sqrt{a}[/tex] × [tex]\sqrt{a}[/tex] = a

= [tex]\frac{2x}{\sqrt{3y} }[/tex] × [tex]\frac{\sqrt{3y} }{\sqrt{3y} }[/tex]

= [tex]\frac{2x\sqrt{3y} }{3y}[/tex]

help me with this pls like omg soooo stressful

Answers

Answer:

t =1

Step-by-step explanation:

3t - 18 = 4(-3-3/4t)

Distribute

3t - 18 = -12 -3t

Add 3t to each side

3t -18+3t = -12 -3t+3t

6t -18 =-12

Add 18

6t -18+18 = -12+18

6t = 6

Divide by 6

6t/6 = 6/6

t =1

Answer:

t = 1

Step-by-step explanation:

start by distributing the 4 to whats in the parentheses.

4 (-3 - 3/4t)

-12 - 3t

*helpful tip: if you multiply a fraction by its denominator the product is equal to its numerator

now you have:

3t - 18 = -12 - 3t

add 18 to both sides

3t = 6 - 3t

add 3t to both sides

6t = 6

divide both sides by 6

t = 1

True or false a multiple of 3 must end in 6 or 9

Answers

Answer: False

Step-by-step explanation: 18 is a multiple of 3 and doesn't end in 6 or 9.

Answer:

True

Step-by-step explanation:

What is the value of K?
O k = 28
Ok= 29
Ok= 31
Ok = 42

Answers

Answer:

k = 29

Step-by-step explanation:

The sum of the two angles is 180 since they form a straight line

5k-3 + 9+k = 180

Combine like terms

6k +6 = 180

Subtract 6 from each side

6k = 174

Divide each side by 6

6k/6 = 174/6

k =29

Answer:

k=29

Step-by-step explanation:

What is the slope?

Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answers

Answer:5/3

Step-by-step explanation:

choose two coordinates (40,0) and (70,50) then use y2-y1/x2-x1. when you plug the numbers in 50-0/70-40, subtract 50/30, and simplify, you get 5/3

WILL BE GIVING BRAINLIEST

Answers

Answer:

5 1/3

Step-by-step explanation:

16 = 3a

a = 16/3 = 5 1/3

Answer:

5 1/3

Step-by-step explanation:

16 = 3a

a = 16/3

= 5 1/3

Hope this helps!

[tex]x^{2}-5x-24=0[/tex]

Quadratic Formula and solve

Answers

Answer:

x= 8, 3

Step-by-Step Explanation:

[tex]x= \frac{-(-5)^{2} +\sqrt{(-5)^2-4*1(-24)} }{2*1} =8[/tex]

[tex]x= \frac{-(-5)-\sqrt{(-5)^2-4*1(-24)} }{2*1} : -3[/tex]

Need help presenting this solution on and number line and in interval notation. (I’m absolutely clueless haha)

Answers

Since the number is a fraction make a number line using fractions. The inequality sign includes being equal to, so add a solid dot on -5/2 and since x is less than that, draw an arrow pointing to the left.

See attached drawing.

For interval notation since x can be any number less than or equal to -5/2 it would be written as (-∞, -5/2]

Are you an expert? then answer this.

Answers

Answer:

a) n = 3

b) every 9 cm represents 175,000 km

Step-by-step explanation:

a) 20 min : 1 hour

Let's convert it into same units

⇒20 min : 60 min

÷ 20        ÷ 20

⇒ 1 : 3

So n = 3

b) 1 : 25,000

Which means every 1 cm on the map represents 25,000 km

And,

1 cm = 25,000 km

So,

9 cm = 25,000 × 9

9 cm = 175,000 km

So every 9 cm represents 175,000 km

Answer:

a) 3

b) 2.25 km

Step-by-step explanation:

a) 20 min : 1 hour = 1 : n

20 min : 60 min= 1 :3

n=3

b) 1: 25000 scale

1 mm : 25000 mm

9 cm = 90 mm

90 mm : 90*25000 mm

9 cm : 2250000 mm

9 cm : 2.25 km

can someone help and explain​

Answers

Answer:

12 4/3 =40

Step-by-step explanation:

I hope that help u

I need help ASAP I shall give brainlyist (idk how to spell) figure out how much A cand hold and how much B can hold

Answers

Answer:

A) 84.78

B) 42.39

Step-by-step explanation:

A)

[tex]\pi r^2 h= \\\\3.14 \cdot 3^2 \cdot 3= \\\\84.78[/tex]

B)

[tex]\pi r^2 h= \\\\3.14 \cdot 1.5^2 \cdot 6=\\\\42.39[/tex]

Hope this helps!

-7 written as a fraction is _____

Answers

Answer: -7/1

Explanation: -7/1 is an improper fraction, meaning it’ll just equal to seven. Whenever there’s a one as a denominator, remember, in this case, it’s just -7.

First gets a brainly :D

Answers

Answer:

[tex]47.25\[/tex]

Step-by-step explanation:

[tex]42 \times 1.125[/tex]

[tex]=47.25[/tex]

Answer:

$25.2

Step-by-step explanation:

The length of a rectangle is 15 meters more than the width. The perimeter is 50 meters. The width is:

Answers

Answer:

5 meters

Step-by-step explanation:

The perimeter of a rectangle can be expressed as 2l+2w.

2l+2w=50

l=w+15

Substitute:

2(w+15)+2w=50

2w+30+2w=50

4w+30=50

4w=20

w=5

Hope this helps!

Can anybody help with this one?

Answers

Answer: (-2,2)

see below

Step-by-step explanation:

Which expression is represented by the number line?

A number line going from negative 4 to positive 4. An arrow goes from negative 2.5 to negative 1, from 0 to 3, and from 3 to negative 2.5.
3 – 5.5 – 1.5
3 – 5.5 + 1.5
3 – 2.5 – 1
3 – 2.5 + 1

Answers

Answer:

3 – 5.5 + 1.5

Step-by-step explanation:

The number line described above is 3 – 5.5 + 1.5

Starting from our midpoint '0'

It moves 3 units to the right direction = +3

Then from that point '+3', it moves to '-2.5' which is 5.5 units to the left = -5.5. Then finally moves from '-2.5' to to '-1' which is 1.5 units towards the right direction = +1.5

Therefore, we finally have ;

+3 - 5.5 + 1.5

Answer:

B) 3 - 5.5 + 1.5

find the total surface area of this cylinder. Give yor answer to 1 decimal place. Award is brainliest answer

Answers

Answer:

2261.95

Step-by-step explanation:

A=2πrh+2πr2

Answer:

2261.9

Step-by-step explanation:

the other users answer was correct, but not with 1 decimal place

How do you put 0.02 in scientific notation

Answers

Answer:

2 x 10^-2

Step-by-step explanation:

0.02 equals to 2/100

therefore 0.02= 2/102 (remember this is negative)

= 2x10^-2 (therefore -2)

The solution to the number 0.02 in scientific notation is 2 * 10⁻²

How to express the number 0.02 in scientific notation

From the question, we have the following parameters that can be used in our computation:

Number = 0.02

Multiply the number by 1

So, we have

Number = 0.02 * 1

Express 1 as 100/100

So, we have the following representation

Number = 0.02 * 100/100

Next, we have

Number = 2 * 1/100

Express 1/100 as 10⁻²

So, we have

Number = 2 * 10⁻²

Hence, the solution is 2 * 10⁻²

Read more about scientific notation at

brainly.com/question/1767229

#SPJ6

Find the value of x the triangle shown below

Answers

Answer:

[tex]82[/tex]

Step-by-step explanation:

[tex]24+74+x=180[/tex]

[tex]98+x=180[/tex]

[tex]x=180-98[/tex]

[tex]x=82[/tex]

Answer:

x =82

Step-by-step explanation:

The sum of the angles in a triangle is 180 degrees

24+74+x = 180

Combine like terms

98+x = 180

Subtract 98 from each side

98+x-98= 180-98

x =82

PLS HELP ILL MARK YOU BRAINLIEST 45 POINT Part A: Create a fourth-degree polynomial with three terms in standard form. How do you know it is in standard form? Part B: Explain the closure property as it relates to addition of polynomials. Give an example.

Answers

Answer:

A fourth degree polynomial:

[tex]2x^{4} + 10x^{3} + 21[/tex]

The closure property in relation to addition of polynomials means that any polynomials added together will result in another polynomial. For example

(10x^2 + 12) + (x^2 + 6) = 11x^2 + 18

This demonstrates closure because 11x^2 + 18 is also a polynomial

Step-by-step explanation:

Part A: [tex]x^{4}+2x+20[/tex] is a fourth degree polynomial with three terms and it proved that it is in standard form

Part B: Closure property has been proved in the addition of polynomials

What is Polynomial?

A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

Part A

Example of fourth degree polynomial with three terms is

[tex]x^{4}+2x+20[/tex]

The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on

Hence, it is a standard form

Part B

The closure property in relation to addition of polynomials means that any polynomials added together will result in another polynomial

Example

(2x+6)+(5x+2)= 7x+8

Hence, the Closure property has been proved in the addition of polynomial

Learn more about Polynomial here

https://brainly.com/question/11536910

#SPJ2

acute angle of rhombus whose side is a mean proportional between the diagonal is mean proportional of a and b is root ab​

Answers

Answer:

Step-by-step explanation:

A cone has a height of 7ft and a radius of 4ft which equation can find the volume of the cone v=1.3 (7.2)

Answers

Answer:

The volume of a cone is:

V=(hπr^2)/3, where h=height and r=radius  

V=(7π4^2)/3

V=112π/3 ft^3

V≈117.29 ft^3  (to nearest hundredth of a cubic foot)

Step-by-step explanation:

Please help me! The answer choices are included in the picture.​

Answers

Answer:

C

Step-by-step explanation:

Let's just look at the point G(3) = 3

this point only occurs through one equation which is

g(x) = (1/3)x^2

Answer:

The answer is 1/3x^2 or in your case C.

Step-by-step explanation:

Well I just add the points on Desmos graphing.  The 3rd one was able to hit the points (3,3) and (-3,3). The others did not.

Which of the following is the factored form of the quadratic *
4x^2+7x-15=0

1.(4x + 5)(x + 3)
2.(4x -5)(x + 3)
3.(4x - 5)(x - 3)

Answers

Answer:

2.

Step-by-step explanation:

(4x-5)(x+3)

=4x^2+12x-5x-15

=4x^2+7x-15

The value x is


Please help I’m stuck

Answers

Step-by-step explanation:

EL ÁNGULO DE LA LINEA HORIZONTAL ES 0° EL ÁNGULO DE LA LINEA

VERTICAL ES 90° Y EL ÁNGULO DE LA LINEA DE ENMEDIO ES 3=° CON

RESPECTO A LA VERTICAL. ES DECIR 55° CON RESPECTO A LA

HORIZOANTAL, PERO ESTÁ ESCRITO 5x!, ENTONCES

5x° = 55°

DESPEJA x

x = 55°/5° = 11

Someone answer ASAP pleaseee

Answers

Answer:

1. (4,2) and (-2,-4)

2. (6,3) and (3,-6)

3. (1,8) and (7,-4)

Step-by-step explanation:

Please HELP! WILL GIVE BRAINLIEST IF IT PROMPTS ME!

Ahhhh Im losing so many points

Answers

Answer:

reflect over line b

counterclockwise rotation about P by 180 degrees

Step-by-step explanation:

reflecting over b will put it in the same place bc b goes down the middle of the rectangle

if you rotate it counterclockwise around p by 180 degrees it would flip it upside down but that doesn't really matter because the length on the top and bottom are equal

Answer:

I would check:

reflect over line b  and check

counterclockwise rotation about P by 180 degrees

Step-by-step explanation:

First of all, b is a horizontal line going through the middle. If you reflect across it you will get the same rectangle just backwards but exactly the same position.

If you rotate 180, then you will get the exact same shape just upsides down.

Thanks and please give brainliest have a nice day :)

(3x+8) (4x+10) what is the length

Answers

12x^2+62x+80
Do you want a step by step?

Evaluate 4 - 2(a2 – b2)2 when a = 3 and b = 2.

Answers

Answer:

-46

Step-by-step explanation:

4 - 2(a^2 – b^2)^2 =

= 4 - 2(3^2 – 2^2)^2

= 4 - 2(9 - 4)^2

= 4 - 2(5)^2

= 4 - 2(25)

= 4 - 50

= -46

Answer:

= -46

Step-by-step explanation:

4 - 2(a² - b²)²

= 4 - 2(3² - 2²)²

= 4 - 2(9 - 4)²

= 4 - 2(5)²

= 4 - 2(25)

= 4 - 50

= -46

difference in the abscissa of points A (4,3) and B (-7,2)

Answers

Answer:

The difference is 11 units

Step-by-step explanation:

When we talk of the abscissa, we are referring to the x-axis.

So what this question is asking us is the difference between the values of the x-axis

At point A, the value is 4 while at point B, the value here is -7

So the difference between this two would be 4-(-7) = 4 + 7 = 11 units

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