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Golf ball A golf ball has a radius of 4.5 centimeters. Find its volume and surface area.

  1. 381.51 cu. cm
  2. 254.34 sq. cm

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Baseball A baseball has a radius of 2.9 inches. Find its volume and surface area.

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Find the Volume and Surface Area of a Cylinder

In the following exercises, find the volume and the surface area of the cylinder with the given radius and height. Round answers to the nearest hundredth.

radius 3 feet, height 9 feet

  1. 254.34 cu. ft
  2. 226.08 sq. ft

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radius 5 centimeters, height 15 centimeters

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radius 1.5 meters, height 4.2 meters

  1. 29.673 cu. m
  2. 53.694 sq. m

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radius 1.3 yards, height 2.8 yards

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In the following exercises, solve. Round answers to the nearest hundredth.

Coffee can A can of coffee has a radius of 5 cm and a height of 13 cm. Find its volume and surface area.

  1. 1,020.5 cu. cm
  2. 565.2 sq. cm

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Snack pack A snack pack of cookies is shaped like a cylinder with radius 4 cm and height 3 cm. Find its volume and surface area.

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Barber shop pole A cylindrical barber shop pole has a diameter of 6 inches and height of 24 inches. Find its volume and surface area.

  1. 678.24 cu. in.
  2. 508.68 sq. in.

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Architecture A cylindrical column has a diameter of 8 feet and a height of 28 feet. Find its volume and surface area.

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Find the Volume of Cones

In the following exercises, find the volume of the cone with the given dimensions. Round answers to the nearest hundredth.

height 9 feet and radius 2 feet

37.68 cu. ft

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height 8 inches and radius 6 inches

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height 12.4 centimeters and radius 5 cm

324.47 cu. cm

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height 15.2 meters and radius 4 meters

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In the following exercises, solve. Round answers to the nearest hundredth.

Teepee What is the volume of a cone-shaped teepee tent that is 10 feet tall and 10 feet across at the base?

261.67 cu. ft

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Popcorn cup What is the volume of a cone-shaped popcorn cup that is 8 inches tall and 6 inches across at the base?

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Silo What is the volume of a cone-shaped silo that is 50 feet tall and 70 feet across at the base?

64,108.33 cu. ft

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Sand pile What is the volume of a cone-shaped pile of sand that is 12 meters tall and 30 meters across at the base?

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Everyday math

Street light post The post of a street light is shaped like a truncated cone, as shown in the picture below. It is a large cone minus a smaller top cone. The large cone is 30 feet tall with base radius 1 foot. The smaller cone is 10 feet tall with base radius of 0.5 feet. To the nearest tenth,

find the volume of the large cone.

find the volume of the small cone.

find the volume of the post by subtracting the volume of the small cone from the volume of the large cone.

An image of a cone is shown. There is a dark dotted line at the top indicating a smaller cone.

  1. 31.4 cu. ft
  2. 2.6 cu. ft
  3. 28.8 cu. ft

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Ice cream cones A regular ice cream cone is 4 inches tall and has a diameter of 2.5 inches. A waffle cone is 7 inches tall and has a diameter of 3.25 inches. To the nearest hundredth,

find the volume of the regular ice cream cone.

find the volume of the waffle cone.

how much more ice cream fits in the waffle cone compared to the regular cone?

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Writing exercises

The formulas for the volume of a cylinder and a cone are similar. Explain how you can remember which formula goes with which shape.

Answers will vary.

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Which has a larger volume, a cube of sides of 8 feet or a sphere with a diameter of 8 feet? Explain your reasoning.

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Self check

After completing the exercises, use this checklist to evaluate your mastery of the objectives of this section.

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After reviewing this checklist, what will you do to become confident for all objectives?

Practice Key Terms 3

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Source:  OpenStax, Prealgebra. OpenStax CNX. Jul 15, 2016 Download for free at http://legacy.cnx.org/content/col11756/1.9
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