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 7 Page 844

Use the formula for the volume of a cone.

28.1mm^3

Practice makes perfect

To calculate the volume of an oblique cone, we can use the following formula. V= 13Ï€ r^2 h Here r is the radius and h is the height of the cone. We are given that the height of the cone is 10.5mm and a radius is 1.6 mm. Let's substitute these values into the above formula and calculate the volume.

V=1/3Ï€ r^2 h
V=1/3Ï€ ( 1.6)^2 ( 10.5)
â–¼
Simplify right-hand side
V=1/3Ï€(2.56)(10.5)
V=26.88/3Ï€
V=28.1487...
V≈ 28.1

The volume of the cone is approximately 28.1mm^3.