10.1.3 Volume of Prisms and Cylinders (continued) Example 3 Finding Volumes of Cylinders
The volume of an oblique cylinder is determined in this example. The radius of the base and height of the cylinder are given. To find the volume of the cylinder, substitute the given values into the formula for the volume of a cylinder. The volume of the cylinder is 360 π cm 3 . Notice that the formula works for both a right cylinder and an oblique cylinder. The volume of a right cylinder is determined in this example. The base area is given and the height is given as equal to the radius. Use the formula for the area of a circle and the given area of the base to solve for the radius of the cylinder. The radius is equal to 5 inches, which is also equal to the height. To find the volume of the cylinder, substitute the radius and height into the formula for the volume of a cylinder. The volume of the cylinder is 125 π in 3 .
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