Question

A cone has a volume 12 pie cubic inches it’s height 4 inches what is the radius?

Answer 1

Answer:

r = 3 in

Step-by-step explanation:

The formula of a volume of a cone:

$V=\dfrac{1}{3}\pi r^2H$

r - radius

H - height

We have V = 12π in³ and H = 4 in. Substitute:

$12\pi=\dfrac{1}{3}\pi(r^2)(4)\qquad\text{multiply both sides by 3}\\\\36\pi=4\pi r^2\qquad\text{divide both sides by}\ 4\pi\\\\9=r^2\to r=\sqrt9\to r=3$