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 23 Page 873

Use the formula for the volume of a cone.

≈ 3.6 cm^3

Practice makes perfect

Consider the given solid.

The given solid is a cone. To calculate the volume of a cone, we can use the known formula where r is the radius of the base and h is the height of the cone. V= 13π r^2 h We are given that the height of the cone is 3.4 centimeters and its base has a radius of 1 centimeter. Let's substitute these values into the formula to calculate V.
V=1/3π r^2 h
V=1/3π ( 1)^2 ( 3.4)
Simplify right-hand side
V=1/3π(1)(3.4)
V=1/3(1)(3.4)π
V=1/3(3.4)π
V=3.4π/3
V=3.56047...
V≈ 3.6
The volume of the cone is about 3.6 cubic centimeters.