Question

A rectangular box of width($a$), length($b$), and height($c$) has a solid cylinder of height '$c$' and of diameter '$a$' placed within it. If $a = 6$, $b = 8$ and $c = 10$, how much volume is left in the rectangular box?

Accepted Answer

D. Volume of box $= a 	imes b 	imes c = 6 	imes 8 	imes 10 = 480$. Radius of cylinder $r = a/2 = 3$, height $= c = 10$. Volume of cylinder $= \pi r^2 c = \pi 	imes 3^2 	imes 10 = 90\pi$. Volume left $= 480 - 90\pi$.

Volume left in rectangular box

Explanation

Practise this under exam conditions