We appreciate your visit to 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. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
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.
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.
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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
