Question

EASY 5 POINTS!!!!! You have a 1-gallon paint can in the shape of a cylinder. One gallon is 231 cubic inches. The radius of the can is 3 inches. What is the approximate height of the paint can? Use 3.14 for pi.

A.) 5 inches
B.) 25 inches
C.) 8 inches
D.) 26 inches

Answer 1

The height of the cylinder shaped can = 8.17 inches

Explanation:

Volume of the cylinder shaped can = 1 gallon

1 gallon = 231 cubic inches

So, Volume of the cylinder shaped can = 231 cubic inches

Radius of the can = 3 inches

`\text{Now, Volume of the cylinder = }\pi* radius^2* height\\\\\implies 231=3.14* 3^2* height\\\\\implies height=(231)/(3.14* 9)\\\\\implies height\approx 8.17\text{ inchjes}`

Hence, The height of the cylinder shaped can = 8.17 inches

Answer 2

We know that the volume is: V = 1 gallon = 231 in³
Also : r = 3 in.
The volume of a cylinder: V = r² π h
231 = 3³ · 3.14 · h
231 = 9 · 3.14 · h
231 = 28.26 h
h = 231 : 28.26
h = 8.17 ≈ 8 in
Answer: C) 8 in.