Question

The volume of this cone is 20 cubic inches. If the cone has height of 15 inches, what is the radius of the cone? Formula Sheet submit

Answer 1

The formula for determining the volume of a cone is expressed as

Voume = 1/3 x pi x radius^2 x height

From the information given,

volume = 20

height = 15

we know that pi = 3.14

Thus, we have

20 = 1/3 x 3.14 x radius^2 x 15

20 = 15.7 x radius^2

radius^2 = 20/15.7 = 1.274

`\begin{gathered} \text{radius = }\sqrt[]{1.274} \\ \text{radius = 1.13} \end{gathered}`

The radius of the cone is 1.13 inches