Page 117 - Math Course 1 (Book 2)

Volumes of Prisms and Cylinders

2
Estimate 3 • 7 • 14 = 2058
Let’s Begin
V = Bh Formula for volume

2
2
Standardized Test Example V = πr h Replace B with πr .
2
Find the volume of the solid. V = π • 7 • 14 Replace r with 7 and h with 14.

A 262 m 3 9 m V ≈ 2155.1 Compare to the estimate.
B 972 m 3
C 918 m 3 The volume is about 2155.1
D 1458 m 3 Answer cubic feet.
9 m

B. Find the volume of the cylinder. Round to the
nearest tenth. diameter of base 10 m, height 2 m
9 m
12 m Since the diameter is 10 m, the radius is 5 m.

Read the Test Item
2
The solid is made up of a rectangular prism and a V = πr h Formula for volume of a cylinder
triangular prism. The volume of the solid is the sum
of both volumes.
2
V = π • 5 • 2 Replace r with 5 and h with 2.
Solve
V ≈ 157.1 Simplify.
V(solid) = V(rectangular prism) + V(triangular prism)
The volume is about 157.1
V(solid) = ℓ • w • h + Bh Volume formulas Answer cubic meters.
1
= 12 • 9 • 9 + ( • 9 • 9) • 12 Substitute
2
= 972 + 486 or 1458m 3 Simplify
Your Turn!

Answer The answer is D.
Standardized Test Example

Find the volume of the solid.
Volume of a Cylinder
A. 1492 in 3
Example B. 932 in 3 3
C. 896 in
D. 718 in 3
A. Find the volume of the cylinder.
Round to the nearest tenth.

7 ft
Answer

14 ft

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