Question

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

• A. 9 cm
• B. 27 cm
• C. 3 cm
• D. 6 cm

Answer 1

Answer:

D. 6 cm

Volume of Sphere $=\frac{4}{3}\pi{r^3}=36\pi$

$\frac{4}{3}\times{\pi}{r^3}=36\pi$

$\frac{4}{3}r^3=36$

$r^3=\frac{36\times{3}}{4}$

$r=3$

Diameter =2r = 2 x 3 = 6 cm