Mathematics: Challenge: find the radius of the base of a cone with volume equal to 144π in3 and height equal to 12 in.

Challenge: find the radius of the base of a cone

Ответ:

alyssatamayo641

13.03.2022

By definition, the volume of a cone is given by:
$V = \frac{\pi*r^2*h}{3}$
Where,
r: radius of the circular base.
h: height
Clearing the radio we have
$r = \sqrt{ \frac{3V}{ \pi*h} }$
Substituting values:
$r = \sqrt{ \frac{3(144\pi)}{ \pi*12} }$
Rewriting the obtained equation, we have:
$r = \sqrt{ \frac{432}{12}}$
$r = \sqrt{36}$
r = 6