# Volume of Prisms and Cylinders

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Volume of Prisms and Cylinders
Chapter Volume of Prisms and Cylinders

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

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

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

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

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

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

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

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

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

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