ABC26GN4894 · Volume and Surface Area
Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
The height of a right circular cylinder is 14 cm and its curved surface is 704 sq. cm. Then its volume is:
(a)$1408 \mathrm{cm}^{3}$
(b)$2816 \mathrm{cm}^{3}$
(c)$5632 \mathrm{cm}^{3}$
(d)$9856 \mathrm{cm}^{3}$
Answer
Explanation
$\frac{2 \pi r h}{h}=\frac{704}{14} \Rightarrow 2 \pi r=\frac{704}{14} . \Rightarrow r=\left(\frac{704}{14} \times \frac{1}{2} \times \frac{7}{22}\right)=8 \mathrm{cm}$. $$\text { ∴ Volume }=\left(\frac{22}{7} \times 8 \times 8 \times 14\right) \mathrm{cm}^{3}=2816 \mathrm{cm}^{3} .$$
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