Mathematics: If the volume of a sphere is 36 pi cubic inches, what is the radius?

If the volume of a sphere is 36 pi cubic inches,

edjiejwi

21.07.2021

r = 3 in

Step-by-step explanation:

The volume (V) of a sphere is calculate as

V = $\frac{4}{3}$ πr³ ( r is the radius )

Here V = 36π , then

$\frac{4}{3}$ πr³ = 36π ( multiply both sides by 3 to clear the fraction )

4πr³ = 108π ( divide both sides by 4π )

r³ = $\frac{108\pi }{4\pi }$ = 27 ( take the cube root of both sides )

r = $\sqrt[3]{27}$ = 3

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studybug2306

09.09.2021

Hope this helps

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