Big Ideas Math: Modeling Real Life, Grade 8
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Big Ideas Math: Modeling Real Life, Grade 8 View details
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Exercise 10 Page 456

Use the formula for the volume of a cone.

23.9 mm

Practice makes perfect

The given solid is a cone.

We can use the formula for the volume of a cone to calculate the height. V= 13Ï€ r^2 h Here, V is the volume, r is the radius, and h is the height of the cone. We know that the radius is 6 millimeters and the volume is 900 cubic millimeters. Let's substitute these values into the formula and calculate the height.

V=1/3Ï€ r^2 h
900=1/3Ï€ ( 6)^2 h
â–¼
Solve for h
900=1/3Ï€(36)h
900=36/3Ï€ h
900=12Ï€ h
900/12Ï€=h
h=900/12Ï€
h=23.873241...
h≈ 23.9

The height of the cone is approximately 23.9 millimeters.