McGraw Hill Integrated II, 2012
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McGraw Hill Integrated II, 2012 View details
5. Volumes of Pyramids and Cones
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Exercise 18 Page 845

Use the formula for the volume of a cone.

134.8cm^3

Practice makes perfect
To calculate the volume of a cone, we can use the following formula. In this formula r is the radius, and h is the height of a cone. V= 13π r^2 h We are given that the height of the cone is 7.3cm and the radius of the base is 4.2cm. Let's substitute these values into the above formula and calculate the volume.
V=1/3π r^2 h
V=1/3π ( 4.2)^2 ( 7.3)
Simplify right-hand side
V=1/3π(17.64)(7.3)
V=1/3π(128.772)
V=134.8497...
V≈ 134.8
The volume of the cone is approximately 134.8cm^3.