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A football can occupy 36π cm3cm^3 cm3​of air. Its radius (in cm) will be:
Question

A football can occupy 36π cm3cm^3 ​of air. Its radius (in cm) will be:

A.

5

B.

2

C.

4

D.

3

Correct option is D

Given:

Volume of football = 36πcm336\pi cm^3​​

Formula Used:

Volume of sphere =43πr3 \frac{4}{3} \pi r^3​​

Solution: 

Volume of sphere = 36π\pi​​

43πr3=36π\frac{4}{3} \pi r^3 = 36\pi​ 

r3=36×34r^3 = \frac{36 \times 3}{4}

r3=27r^3 = 27​​

r=273r= \sqrt[3]{27}​​

r = 3cm 

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