Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
The radius of base and curved surface area of a right cylinder is ' $r$ ' units and $4 \pi r h$ square units respectively. The height of the cylinder is [SSC-CHSL (10+2) Exam, 2015]
(a)$\frac{h}{2}$ units
(b)$h$ units
(c)$2 h$ units
(d)$4 h$ units
Answer
Answer (as printed): C
Explanation
Radius of base $=r$ units Curved surface area of a right cylinder $=4 \pi r h$ Curved surface area of cylinder $=2 \pi \mathrm{RH}$ ∴ According to the question, $2 \pi r \mathrm{H}=4 \pi r \mathrm{h}$ ⇒ Height of cylinder $=2 h$ units