Question

8.2.PS-10

8.8 cm
A company is designing a new cylindrical water
bottle. The volume of the bottle will be 198 cm³.
The height of the water bottle is 8.8 cm. What is
the radius of the water bottle? Use 3.14 for .
The radius of the water bottle is about
cr
cm. (Round to the nearest tenth as needed.)
Questio

Answer 1

Explanation:

Givens

• Volume = 198 cm^3
• h = 8.8 cm
• pi = 3.14
• r = ?

Formula

V = pi * r^2 * h Substitute givens into formula

Solution

198 cm^3 = 3.14 * 8.8 * r^2 Combine the right

198 = 27.632 * r^2 Divide both sides by 27.632

198 / 27.632 = 27.632 * r^2 / 27.632

7.1656 = r^2 Switch the equation

r^2 = 7.1656 Take the square root of both sides

√r^2 = √7.1656

r = 2.6768

Answer

r = 2.7 rounded to the nearest tenth