McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
Study Guide and Review
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Exercise 20 Page 873

Use the formula for the volume of a cylinder.

≈ 7 cm

Practice makes perfect

Consider the given solid.

The given solid is a cylinder. The volume of a cylinder with the radius r and height h can be calculated by the following formula. V=π r^2 h We are given that the volume of the cylinder is 770 cubic centimeters. The height is 5 centimeters. Let's substitute these values into the formula and solve for r^2.
V=π r^2 h
770=π r^2 ( 5)
Solve for r^2
π r^2(5)=770
5π r^2=770
r^2=770/5π
r^2=49.01972...
r^2≈ 49
Let's take the positive square root of each side! sqrt(r^2)≈ sqrt(49) ⇔ r≈ 7 Therefore, the radius of the cylinder is about 7 centimeters.