CPM Homework Help : CCG Problem 12-54

Find the volume and lateral surface area of a cone if the circumference of the base is $28\pi$ inches and the height is $18$ inches.

Hint:

The formula for the circumference of a circle is $2r\pi$ .

Step 1:

Find the radius of the base.

Step 2:

Find the area of the base.
Base $= \pi - r^2 = 196\pi$

Step 3:

Find the volume.

The formula for the volume of a cone is $\frac{\text {(area of the base) } \cdot \text{ (height)} }{3}$ .

More help:

The equation for the lateral surface area of a cone is $\text{LA}=\pi−r−1$