1. Volume of Prisms and Cylinders
Chapter
Volume of Prisms and Cylinders

2. Volume of a Cylinder Theorem 12.8: Volume of a Cylinder
The volume V of a Cylinder is V = Bh = r2h, where B is the area of the base (a circle), h is the height, and r is the radius.
Area of Base: A = (4)2
Base is a circle
Height: h = 11
Distance between bases
Volume: V = (16)11 = 176 in3

3. Find the volume of the following cylinders
Base is a circle with radius 8.1
B = (8.1)2 = 65.61
h = 10
V = (65.61)10 = 656.1
Base is a circle with radius 3
B = (3)2 = 9
h = 12
V = (9)12 = 108

4. Find the Volume of the Cylinder
Base is a circle with radius 4
B = (4)2 = 16
h = 9.5
V = (16)9.5 = 152

5. Solve for the variable using the given measurements
Solve for the variable using the given measurements. The prisms and cylinders are right
The solid is a right rectangular prism
V = Bh, B = 15(5), h = x
Fill in the information
525 = 15(5)x
Solve for x
x = 7

6. Solve for the variable using the given measurements
Solve for the variable using the given measurements. The prisms and cylinders are right
The solid is a right cylinder
V = Bh = r2h, r = 8, h = x
Fill in the information
2420 = (8)2x
Solve for x
x  12

7. Solve for the variable using the given measurements
Solve for the variable using the given measurements. The prisms and cylinders are right.
The solid is a right triangular prism
V = Bh, B is the area of the triangle
Fill in the information
455 = ½(10)(14)x
Solve for x
x = 6.5

8. Make a sketch of the solid and find its volume
A prism has a square base with 5 foot sides and a height of 2.5 feet.
The solid is a square based prism
V = Bh, B = 52
Find the Height
h = 2.5
Substitute and find the volume
V = 52(2.5) = 62.5 ft3
5 ft
2.5 ft

9. Make a sketch of the solid and find its volume
A cylinder has a diameter of 23 inches and a height of 16 inches.
Base is a circle with radius 11.5
B = (11.5)2 = 
h = 16
V = (132.25)16 = 2116 in3 16
11.5

10. 15. Pillars How much plaster of paris is needed to make four miniature pillars for a model home if the pillars are regular hexagonal prisms with a height of 12 in. and base edges of 2 in.?
Base is a hexagon with s = 2
a = 3
h = 12
V = (6 3)12 = 723 in3
Since there are 4 pillars you need to multiply by 4
Amount = 4(723) = 2883 in3

11. Homework #65 Pg 747 – , 22-24, 26, 28-33, 39-49, 51-60