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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

Respuesta :

HomertheGenius
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.

Answer:

The height of the cylinder shaped can = 8.17 inches

Step-by-step 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

[tex]\text{Now, Volume of the cylinder = }\pi\times radius^2\times height\\\\\implies 231=3.14\times 3^2\times height\\\\\implies height=\frac{231}{3.14\times 9}\\\\\implies height\approx 8.17\text{ inchjes}[/tex]

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