Question

The volume of a cone is represented by the formula V = 1 T?n. If the volume of a cone is 30rt and the height is 2.5, what is the radius of the cone?

Answer 1

radius is 3.38cm

Explanation:

Note: the volume of a cone is given as

`V= 1/3 \pi r^2 h`

Step one:

Given Information

volume= 30cm^3

height= 2.5cm

Required

The radius of the cone

Step two:

substituting our data into the expression for the volume of a cone we can then solve for the radius r

`30=1/3 *3.142*r^2 * 2.5\\\\30=1/3*7.855r^2\\\\30=2.62r^2\\\\`

divide both sides by 2.62

`30/2.62= r^2\\\\11.45= r^2\\\\r=√(11.45) \\\\r=3.38cm`