SOLIDS: CYLINDERS

Find the volume for the cylinder with the given measurement. r = 2, h = 3

12pi cubic units

Find the lateral area for the cylinder with the given measurement. r = 6, h = 20

240pi square units

Find the total area for the cylinder with the given measurement. r = 2, h = 4

24pi square units

A cylinder is inscribed in a cube. If the edge of the cube is 3" long, find the volume of the cylinder.

27/4 pi in3

Find the lateral area for the cylinder with the given measurement. r = 4, h = 5

40pi square units

Use Cavalieri's Principle to calculate the exact volume of an oblique cylinder with a height of 10 meters and a circular base with a radius of 8 meters.

640pi m3

The radius of a cylinder is 5" and the lateral area is 70 sq. in. Find the length of the altitude.

7"

A cylinder has a volume of 320 cu in. and a height of 5". Find the radius of the cylinder.

8 in.

Find the volume of a cylinder of height 6" and base with circumference 16".

96 cubic units

A sculptor is planning to order a cylinder of composite stone to sculpt a full-sized person. The figure will be 6 feet tall, and 2' at the longest diameter. The composite stone weighs 50 pounds per cubic foot. About how much will the smallest cylinder weigh that the sculptor can order to make his statue?

If the height is 6 and the radius is 1/2 the diameter 1 then the Volume becomes 3.14 (1)(6) or 18.84 cubic feet 50 pounds/1 cubic foot = x pounds/18.84 cubic feet or 1x=50(18.84)

The bases of a circular cylinder are two

congruent circles

According to Cavalieri's Principle, which qualities must be congruent in order for two solids to have the same volume? Select all that apply.

hight, same cross-sectional area

Find the difference in the volume and total area of a cylinder with both a radius and height of 1. r = 1, h = 1 The number of sq units of the total area exceeds the number of cu. units in the volume by

pi