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What volume of water will fit inside a cylindrical barrel that has a total surface area of 1885 in2 and a radius of 10 inches? 6283 in3 20 in3 1885 in3 18850 in3
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What volume of water will fit inside a cylindrical barrel that has a total surface area of 1885 in2 and a radius of 10 inches?

6283 in3

20 in3

1885 in3

18850 in3

User Silx
by
8.7k points

1 Answer

3 votes
Volume of a cylinder,

V=Area base*h

Total surface area=top area+bottom area+lateral area=2*pi*r^2+pi*r*h. So

1885=2*pi*10^2+2*pi*h*r

Solving for h, h=20. So the volume is,

V=pi*10^2*200=6283 in^3


User Simia
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