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Find the radius of a sphere with a volume of 121.5π cubic feet

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4 votes

r=(3 (v)/(4 \pi ) )^(1/3) =(3* (381.51)/(4 \pi ) )^(1/3) = 4.499
User Hobbes The Tige
by
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3 votes

Answer: 4.5 feet

Explanation:

The volume of the sphere is given by :-


\text{Volume of sphere}=(4)/(3)\pi r^3

The given volume of sphere =
121.5\pi \text{cubic feet}

Let r be the radius of the given sphere.


\Rightarrow 121.5\pi =(4)/(3)\pi r^3\\\\\Rightarrow\ r^3=121.5*(3)/(4)\\\\\Rightarrow\ r^3=91.125\\\\\Rightarrow\ r=4.5\ ft.

Hence, the radius of sphere = 4.5 feet.

User Marcos Souza
by
8.7k points

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