The radius of a cone can be found using the formula r=3⁢Vπ⁢h , where V stands for the volume of the cone and h stands for the height. If r=3 , h=8 , and π is 3.14, find the volume (V). Round the answer to the nearest hundredths place.

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02-05-2018
Mathematics

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The radius of a cone can be found using the formula r=3⁢Vπ⁢h , where V stands for the volume of the cone and h stands for the height. If r=3 , h=8 , and π is 3.14, find the volume (V). Round the answer to the nearest hundredths place.

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jushmk jushmk · Answer 1 · 2018-05-11T14:26:27+02:00

jushmk jushmk

11-05-2018

The right expression for r is give as follows:

r = Sqrt [(3V)/(πh)]

Making the V the subject of the formula
r^2 = (3V)/(πh)
V = πr^2h/3

Substituting,
V= 3.14*3^2*8/3 = 75.36 sq. units

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