BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071
BuyFind

Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

Solutions

Chapter 1.6, Problem 81E
To determine

To find: The radius of the tank.

Expert Solution

Answer to Problem 81E

The radius of tank is 2.88 ft.

Explanation of Solution

Given:

Capacity of spherical tank is 750 gallons.

Volume of one gallon is 0.1337ft3 .

Formula used: Volume of sphere

Volume=43π×(radius)3

Calculation:

Let the radius of spherical tank be x.

Tabulate the given information into the language of algebra.

In words In algebra
Radius of spherical tank x
Volume of tank 750×0.1337

Model the equation for the above information.

Volumeoftank=43π×(radius)3750×0.1337=43π(x)3

Simplify the above equation for x,

100.275=43×227×x3x3=100.275×3×74×22x3=23.92x=2.88

Thus, the radius of tank is 2.88 ft.

Have a homework question?

Subscribe to bartleby learn! Ask subject matter experts 30 homework questions each month. Plus, you’ll have access to millions of step-by-step textbook answers!