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d1i1m1o1n [39]
3 years ago
9

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

Mathematics
1 answer:
insens350 [35]3 years ago
3 0

Answer:

<h2>r = 3 in</h2>

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

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