Question

The volume of a cone is 565.2 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.) (1 point)


Group of answer choices


3


6


18


36

Answer 1

Answer:

Radius, r = 6 inches

Step-by-step explanation:

We have,

Volume of a cone is 565.2 cubic inches

Height of the cone is 15 inches

It is required to find the radius of the cone. Volume of a cone is given by :

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

r is radius of cone

$r=\sqrt{\dfrac{3V}{\pi h}} \\\\r=\sqrt{\dfrac{3\times 565.2}{3.14\times 15}} \\\\r=6\ \text{inch}$

So, the radius of the cone is 6 inches. The correct option is (b).