Question

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

Answer 1

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