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The volume of a sphere is 36π cubic feet. What is the radius of the sphere? (V = 4 3 πr3) A) 3 ft B) 4 ft C) 6 ft D) 8 ft

Respuesta :

kudzordzifrancis
ANSWER

A) 3 ft


EXPLANATION


The volume of a sphere is given by the formula,

[tex]V = \frac{4}{3} \pi {r}^{3} [/tex]


It was given that the volume is 36π.


We substitute this value into the formula to obtain,


[tex]36\pi = \frac{4}{3} \pi {r}^{3} [/tex]



This implies that,


[tex]9 = \frac{1}{3} {r}^{3} [/tex]


We multiply both side by 3 to get,


[tex] {r}^{3} = 27[/tex]



[tex]r = \sqrt[3]{27} = 3[/tex]
zainebamir540

Answer:

3 feet

Step-by-step explanation:

From question statement, we observe that

Volume of the sphere is given and we have to find the radius of sphere.

V = 36π ft³

r = ?

The formula to find volume of sphere is

V = 4/3πr³

Rewrite the above formula to find the radius of sphere.

 r = ∛(3V / 4π)

Putting the value of volume in above formula,we get

r  = ∛(3(36π) / 4π)

r = ∛27

r = ∛(3)³

r = 3 feet

Hence, the radius of sphere is 3 feet.

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