Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
A solid body is made up of a cylinder of radius $r$ and height $r$, a cone of base radius $r$ and height $r$ fixed to the cylinder's one base and a hemisphere of radius $r$ to its other base. The total volume of the body (given $r=2$ ) is
(a)$8\pi$
(b)$16\pi$
(c)$32\pi$
(d)$64\pi$
Answer
Answer (as printed): B
Explanation
Total volume of the body = Volume of the cylinder + Volume of the cone + Volume of the hemisphere $=\pi r^{2} \cdot r+\frac{1}{3} \pi r^{2} \cdot r+\frac{2}{3} \pi r^{3}=2 \pi r^{3}=2 \pi \cdot(2)^{3}=16 \pi$.
Explanation as extracted from the printed page; notation may be imperfect.