Chapter 9.3, Problem 45E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 44 and 45, use the formula from Exercise 43. Similar triangles were used to find h and H.*

A container of yogurt has the shape of a frustum of a cone. With the lower base having diameter length

A frustum of a cone is the portion of the cone bounded between the circular base and a plane parallel to the base. With dimensions are indicated, show that the volume of the frustum of the cone is

To determine

**To find:**

The volume of the container.

Explanation

**Given:**

A container of yogurt has the shape of the frustrum of a cone. With the lower base having diameter 6 cm and the upper base having diameter 8 cm, the volume of such a container 7.5 cm tall can be determined by using

**Formula used:**

The volume of the frustum of the cone is

**Calculation:**

We have

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