Question

the volume of a cone is 120 cubic centimeters. the height of the cone is 4.5 centimeters. determine the radius of a cone

Answer 1

given:

$v = 120 \: {cm}^{3}$

$h = 4.5 \: cm$

to find:

the radius of the cone.

solution:

$r = \sqrt{3 \frac{v}{\pi \: h} }$

$r = \sqrt{3 \times \frac{120}{\pi \times 4.5} }$

$r = 5.04627 \: cm$

$r = 5.05 \: cm$

hence, the radius of the given cone is 5.05 centimeters.