22)

Find the area of the sector

and subtract it from the area of the triangle

.

__________________________________________________ _______________________________________

23)

a) The arc

is equal to the circumference of the cone's base. With that information you can calculate the radius.

b) Once you know the slanted height of the cone and its base's radius, you can form a triangle to calculate the perpendicular height.

c) Use the volume formula for a cone.

d) The curved surface area is equal to the area of the sector

.

__________________________________________________ _______________________________________

24)

a) First calculate the area of the sector

in terms of

and

. Then express

in terms of

by using the perimeter and the arc length formula.

b) Differentiate the area formula and identify its maximum value. The domain should be

, but it might not matter either way.

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