ABC26GN4992 · Volume and Surface Area
Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
The volume of a sphere is 4851 cu. cm. Its curved surface area is
(a)$1386 \mathrm{cm}^{2}$
(b)$1625 \mathrm{cm}^{2}$
(c)$1716 \mathrm{cm}^{2}$
(d)$3087 \mathrm{cm}^{2}$
Answer
Explanation
$$\begin{aligned} \frac{4}{3} \times \frac{22}{7} \times r^{3}=4851 & \Rightarrow r^{3}=\left(4851 \times \frac{3}{4} \times \frac{7}{22}\right)=\left(\frac{21}{2}\right)^{3} \\ & \Rightarrow r=\frac{21}{2} \end{aligned}$$ ∴ Curved surface area $=\left(4 \times \frac{22}{7} \times \frac{21}{2} \times \frac{21}{2}\right) \mathrm{cm}^{2}=1386 \mathrm{cm}^{2}$.
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