Question

The volume of a cone is 251.2 cubic inches. The height of the cone is 15 inches. What is the radius of the cone, rounded to the nearest inch? Use π = 3.14.
16 inches
8 inches
6 inches
4 inches

Answer 1

L hope this helps you

Answer 2

Answer:

Radius of the cone is 4 inches .

Step-by-step explanation:

Formula

$Volume\ of \ a\ cone = \frac{1}{3}\pi r^{2}h$

Where r is the radius and h is the height of cone.

As given

The volume of a cone is 251.2 cubic inches.

The height of the cone is 15 inches.

π = 3.14

Put all the values in the formula

$251.2= \frac{1}{3}\times 3.14\times 15\times r^{2}$

$r^{2}= \frac{251.2\times 3}{3.14\times 15}$

$r^{2}= \frac{753.6}{47.1}$

r² = 16

$r = \sqrt{16}$

$\sqrt{16} = \pm 4$

(As the radius cannot be negative.)

Thus

r = 4

Therefore the radius of a cone is 4 inches.