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If the volume of a sphere is 36πcm336π cm^336πcm3, then the radius of the sphere is:
Question

If the volume of a sphere is 36πcm336π cm^3, then the radius of the sphere is:

A.

3 cm

B.

9 cm

C.

27 cm

D.

6 cm

Correct option is A

Given: 
Volume of the Sphere = 36π cm336\pi \, cm^3 
Formula Used: 
Volume of the sphere = 43πr3\frac{4}{3}\pi r^3 
where r = radius 
Solution: 
Volume of the sphere = 43πr3\frac{4}{3}\pi r^3 
36π=43πr3 r3=36×34r3=9×3r=273r=336\cancel\pi = \frac{4}{3}\cancel \pi r^3 \\ \ \\ r^3 = \frac{36\times 3}{4} \\ r^3 = 9\times3 \\r = \sqrt[3]{27} \\ \bf r = 3 
Thus, Radius of the sphere r = 3 cm.​​

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