Page 18 - Math Course 2 (Book 2)

Geometric Volume: Prisms and Cylinders

Volume of an Oblique Solid
Let’s Begin
Example

Volume of a Cylinder Find the volume of the oblique cylinder to the
nearest tenth.
Examples To find the volume, use the formula for a right

cylinder.

A. Find the volume of the cylinder to the nearest 15 ft
tenth.

25 ft
1.8 cm
1.8 cm
15 ft
2
V = πr h Volume of a cylinder
2
2
= π(1.8) (1.8) r = 1.8, and h = 1.8 V = πr h Volume of a cylinder
≈ 18.3 Use a calculator. = π(15) (25) r = 15 and h = 125
2
The volume is approximately V ≈ 17,671.5 Use a calculator.
Answer
18.3 cm³.

The volume is approximately
B. Find the volume of the cylinder to the nearest Answer 17,671.5 cubic feet.
tenth.

17 ft
Your Turn!

Volume of a Cylinder
15 ft
A. Find the volume of the cylinder to the nearest
The diameter of the base, the diagonal, and the tenth.
lateral edge of the cylinder form a right triangle.
Use the Pythagorean Theorem to find the height. 3
A. 62.8 cm
2
2
a + b = c 2 Pythagorean Theorem B. 628.3 cm 3 3
2
2
h + 8 = 17 2 a = h, b = 8, and c = 17 C. 125.7 cm 3
2
h + 64 = 289 Multiply. D. 1005.3 cm
2
h = 225 Subtract 64 from each side.
h = 15
Now find the volume.
2
V = πr h Volume of cylinder
2
= π(4 )(15) r = 4 and h = 15
≈ 754.0 Use a calculator.

The volume is approximately
Answer
754.0 cubic feet. Answer

10