Volume of a Barrel (Refer to Example 1.) A cylindrical barrel has a diameter of feet and...

Volume of a Barrel (Refer to Example 1.) A cylindrical barrel has a diameter of feet and a height of 3 feet. Find the volume of the barrel.

EXAMPLE 1 Calculating the volume of a soda can

A cylindrical soda can has a radius of inches and a height of inches.

(a) Find the volume of the can.

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(b) If 1 cubic inch equals 0.554 fluid ounce, find the number of fluid ounces in the can.

Solution

(a) Changing mixed numbers to improper fractions gives the radius as inches and the height as inches.

 

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(b) To calculate the number of fluid ounces in 21.48 cubic inches, multiply by 0.554.

 21.48(0.554) ≈ 11.9 fluid ounces

Note that a typical aluminum soda can holds 12 fluid ounces.