Chapter 9.4, Problem 36E

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7th Edition

Alexander + 2 others

ISBN: 9781337614085

Textbook Problem

An observatory has the shape of a right circular cylinder surmounted by a hemisphere. If the radius of the cylinder is 14 ft and its altitude measures 30 ft, what is the surface area of the observatory? If 1 gallon of paint covers 300

To determine

**To find:**

The surface area and number of gallons of paint required to paint an observatory.

Explanation

**Formula Used:**

The surface area of a hemisphere *S* = 2 *r* is the radius of the sphere.

Curved or lateral surface area of a cylinder =

Volume of cylinder =

**Calculation:**

Consider an observatory that has the shape of a right circular cylinder surmounted by a hemisphere.

The base radius of the cylinder

Surface area of observatory,

= Lateral surface area of right circular cylinder + Surface area of hemisphere

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