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.

Question

Velasquez

Mathematics

7 January, 10:50

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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Answers (1)

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Catherine · Answer 1

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