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The volume of a right circular cylinder with radius an

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The volume of a right circular cylinder with radius an [#permalink] New post 05 Aug 2017, 01:58
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Question Stats:

87% (00:41) correct 12% (00:30) wrong based on 40 sessions


Quantity A
Quantity B
The volume of a right circular cylinder
with radius and height each equal to 3
84


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: The volume of a right circular cylinder with radius an [#permalink] New post 05 Aug 2017, 06:32
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Expert's post
Carcass wrote:
Quantity A
Quantity B
The volume of a right circular cylinder
with radius and height each equal to 3
84


A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.


Volume of cylinder = (pi)(radius²)(height)
= (pi)(3²)(3)
= (pi)(9)(3)
= (pi)(27)
≈ (3.14)(27)
≈ 84.78
NOTE: Since the value of Quantity A is so close to 84, you'll probably need to use your onscreen calculator.

So, we get:
Quantity A: 84.78
Quantity B: 84

Answer: A

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Brent
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Re: The volume of a right circular cylinder with radius an [#permalink] New post 13 Nov 2018, 19:33
Can any body explain the logic behind the formula?
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Re: The volume of a right circular cylinder with radius an [#permalink] New post 19 Nov 2018, 16:15
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Pi * r^2 * height = 3.14 * 3^2 * 3

3^4 = 81 given that one of them is 3.14 as said earlier we need to multiply to find the answer and probably use the calculator.

Last edited by Salsanousi on 19 Nov 2018, 16:19, edited 1 time in total.
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Re: The volume of a right circular cylinder with radius an [#permalink] New post 19 Nov 2018, 16:18
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AE wrote:
Can any body explain the logic behind the formula?


Hi @AE

The area of a circle is known to be pi * r^2

Given that we need the volume so we multiply the third dimension which is the height.


http://www.learnalberta.ca/content/memg ... index.html
Re: The volume of a right circular cylinder with radius an   [#permalink] 19 Nov 2018, 16:18
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