1. Lesson 3

1.9. Explore 5

Mathematics 20-3 Module 7

Module 7: Volume and Capacity

 

Example

 

A conical pile of oats is 20 m in diameter and 5.3 m high. If there are approximately 27.5 bu (bushels) in a cubic metre, estimate the number of bushels of oats in the pile. Round your answer to the nearest 10 bu.

 

A tarp covers a conical grain pile in this photo.

Photo courtesy of Inland Tarp & Liner, Inc.

 

 

Solution

 

If the diameter is 20 m, the radius is r = 10 m. The perpendicular height is h = 5.3 m.

 

Find the volume of the conical pile.

 

 

 

Convert cubic metres to bushels. You know that 1 m3 ≈ 27.5 bu.

 

 

 

There are about 15 260 bu of oats in the pile.

 

Self-Check 2

 

This is a photo of a teepee.

iStockphoto/Thinkstock

Teepees vary in size. The teepee in the photograph is conical in shape. Its diameter on the ground is 16 ft, and its height is 13 ft. To the nearest cubic foot, what is the volume of air in the teepee? Answer