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In Mathematics / High School | 2014-04-10

HELP PLEASE
If the radius of the base of the cone, r, is 2 feet and the height,h, is 12 feet, what is the volume of the cone?

Asked by elizabethhart9

Answer (2)

For a cone, the equation for volume would be V = π r^2 h/3.
( volume = pi x radius squared x height / 3)
To find the volume for this question, you would set up the equation like this:
V = π x 2^2 x 12 / 3
Then, following the order of operation, you would do the following:
V = π x 4 x 12 / 3
(You get the 4 from 2 squared)
V = π x 4 x 4
(You get the second 4 from dividing 12 by 3)
V = π x 16
(You get 16 from multiplying 4 and 4)
V = 16π
(You get 16π from multiplying 16 and π, and the number is always in front of the π, so you would never get a π16, it would only be 16π)
So, your volume would be 16π, which is answer D.
I hope I helped! c:

Answered by sooperfli | 2024-06-10

The volume of the cone is calculated using the formula V = 3 1 ​ π r 2 h . By substituting the values of radius and height, we find that the volume is 16 π cubic feet. This represents the cone's capacity in cubic feet, expressed in terms of π .
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Answered by sooperfli | 2024-12-24