The volume of a cylinder is 32.25 cubic inches. If a cone has the same height and radius as the cylinder, what is its volume?8.06 cu. in.

10.75 cu. in.

21.5 cu. in.

32.25 cu. in.

Answers

Answer 1

Answer: 10.75 cu.in., as volume of a cylinder is 3 times bigger than volume of a cone, according to their equations:
$V_(cylinder) = \pi^(2) rh V_(cone) = (1)/(3) \pi^(2) rh$

Answer 2

Answer:

Answer:

option 2nd is correct

volume of a cone is, 10.75 cubic inches

Step-by-step explanation:

Volume of a cone (V) is given by:

$V = (1)/(3) \pi r^2h$ ......[1]

where,

r is the radius of the cone and h is the height of the cone respectively.

As per the statement:

The volume of a cylinder is 32.25 cubic inches.

Volume of a cylinder is given by:

$\text{Volume of a cylinder} = \pi r^2h$

⇒ $32.25 = 3.14 \cdot r^2h$

Divide both side by 3.14 we have;

$10.27 =(r')^2(h')$

$r</p><p>o(r')^2(h)= 10.27$

It is also given that a cone has the same height and radius as the cylinder.

⇒ $r' = r$ and $h' = h$

⇒ $r^2h = 10.27$

Using formula [1] we have;

$V = (1)/(3) \cdot 3.14 \cdot 10.27$

Simplify:

$V = 10.75$ cubic inches

therefore, volume of a cone is, 10.75 cubic inches

Related Questions

Which expression represents the series 1+5+25+125+625?
There are 312 calories in six ounces of a certain ice cream. How many calories are there in three pounds?
A tank has an opening through which water leaks out. The table below shows the amount of water, in gallons, in the tank after different amounts of time, in hours:What type of association will the scatter plot for this data represent between the number of hours and the amount of water in the tank, in gallons? A negative nonlinear association A positive linear association A positive nonlinear association A negative linear association
Renata wins a $20 gift card to an online music site. After Renata purchases 16 songs, the gift card has a remaining balance of $0. Which equation represents the relationship between y, the remaining balance on Renata’s gift card, and x, the number of songs purchased?
HELP ASAP CLICK Here !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Write a rule to describe each transformation.
I do not know how can I get help ?

Answers

This is the translation rule twice (translate right 2; translate down 1)

Final answer:

To write a rule to describe each transformation, the specific type of transformation and its steps need to be determined. Examples include translation, reflection, and rotation.

Explanation:

To write a rule to describe a transformation, you need to determine the type of transformation and the specific steps involved. Here are some examples:

Translation: A rule for a translation is usually written in the form (x, y) -> (x + a, y + b), where a and b represent the horizontal and vertical shifts, respectively.
Reflection: A rule for a reflection can be written as (x, y) -> (-x, y) for a reflection over the y-axis or (x, y) -> (x, -y) for a reflection over the x-axis.
Rotation: A rule for a rotation can be written as (x, y) -> (xcosθ - ysinθ, xsinθ + ycosθ), where θ represents the angle of rotation.

Learn more about Transformations here:

brainly.com/question/11709244

#SPJ2

10 1/2 cups of flour are needed to make 3 loaves of bread. How many cups are needed for 12?

Answers

Answer:

42 cups of flour

Step-by-step explanation:

12 is 4 times more than 3 (3 × 4 = 12), so we know that we need 4 times 10 1/2 (equal to 10.5) cups of flour.

All we need to do for this is do 10.5 × 4 = x and solve for x.

10.5 × 4 = 42 cups of flour

The local video store charges a monthly membership fee of $5 and $2.25 per video, write this as a algebraic expression

Answers

Answer:

$5 + ($2.25x)

Step-by-step explanation:

The local video store charges a monthly membership fee = $5

and per video charges = $2.25

Let the videos taken = x

So, the algebraic expression to calculate the total monthly charges will be

$5 + ($2.25x)

$5+ ($2.25x)=y

I believe this is correct.

Tomar's paycheck varies directly with the hours he works. When Tomar works 5 hours, he gets paid $60.00. How much does Tomar make in 8 hours?$75
$80
$96
$120

Answers

Tomar get $96.00 to works 8 hours.

What is Multiplication?

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

When Tomar works 5 hours, he gets paid $60.00.

Now,

Since, When Tomar works 5 hours, he gets paid $60.00.

So, The amount to get in 1 hour = $60.00 / 5

= $12

Thus, The amount to get works in 8 hour = $12 x 8

= $96.00

Therefore, Tomar get $96.00 to works 8 hours.

Learn more about the multiplication visit:

brainly.com/question/10873737

#SPJ2

$96.00 because if you want to find his hourly wage all you have to do is divide by 5. And his hourly wage is $12.multiply that by 8 and you have $96.00

Solve an equation to determine the unknown quantity.An emu that measures 30 inches in height is 75 inches less than 5 times the height of a kakapo.
What is the height of a kakapo in inches?

Answers

-75 times 5 = 30
Add 75 to 30 =105
105 divided by 5= 21
Kakapo should be 21 inches. Hope this helps sorry if wrong!

Identify the solution set of the inequality, using the given replacement set.x < –4; {–10, –4.3, –4, –3.9, 2, 6.5}

A. {–10, –4.3, –4}
B. {–4, –3.9, 2}
C.{–10, –4.3}
D. {–3.9, 2}

Answers

Thank you for posting your question here at brainly. Feel free to ask more questions.

The best and most correct answer among the choices provided by the question is C.{–10, –4.3} .

Hope my answer would be a great help for you.

Hello there.

Identify the solution set of the inequality, using the given replacement set.

x < –4; {–10, –4.3, –4, –3.9, 2, 6.5}

C.{–10, –4.3}

Other Questions

What is a hard problem that equals to 44?

A chef has 1/2 a pound of flour to divide equally into two containers. How much flour will be in each container?

At the movie theatre lilah bought 4 drinks and 3 boxes of candy for $20. At the same movie theatre, Cece bought 2 drinks and 5 boxes of candy cost $24, what is the price for each drink and candy

△ABC is mapped to △A′B′C′ using the rule (x, y)→(−x, −y) followed by (x, y)→(x, −y) .Which statement correctly describes the relationship between △ABC and △A′B′C′ ? A. △ABC is congruent to △A′B′C′ because the rules represent a reflection followed by a rotation, which is a sequence of rigid motions. B. △ABC is congruent to △A′B′C′ because the rules represent a rotation followed by a reflection, which is a sequence of rigid motions. C. △ABC is not congruent to △A′B′C′ because the rules do not represent a sequence of rigid motions. D. △ABC is congruent to △A′B′C′ because the rules represent a reflection followed by a reflection, which is a sequence of rigid motions.