Chapter 9.CR, Problem 15CR

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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The slant height of a right circular cone is 12 cm. The angle formed by the slant height and altitude is 30⁰. Find the exact and approximate

a) Lateral area | b) total area | c) volume. |

To determine

(a)

**To find:**

The lateral area of the right circular cone.

Explanation

**Formula used:**

Lateral area

**Given:**

The slant height of a right circular cone is 12 cm. The angle formed by the slant height and altitude is 30⁰.

**Calculation:**

Let

Right circular cone as shown in the above figure.

The angle formed by the slant height and altitude is 30⁰.

Then the height of the right circular cone is,

Also, the slant height is the hypotenuse of a right circular cone with legs equal to the lengths of the altitude of the cone and the radius of the base

To determine

(b)

**To find:**

The total area of the right circular cone.

To determine

(c)

**To find:**

The volume of the right circular cone.

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