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If the volume of a sphere is 36π36\pi cm³, then the diameter of the sphere is:

A9 cm

B27 cm

C3 cm

D6 cm

Answer:

D. 6 cm

Read Explanation:

Volume of Sphere =43πr3=36π=\frac{4}{3}\pi{r^3}=36\pi

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

43r3=36\frac{4}{3}r^3=36

r3=36×34r^3=\frac{36\times{3}}{4}

r=3r=3

Diameter =2r = 2 x 3 = 6 cm


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