ABC26GN4993 · Volume and Surface Area
Subject: General Aptitude · Chapter: Volume and Surface Area · Exam: · Marks: · Difficulty:
The curved surface area of a sphere is 5544 sq. cm. Its volume is
(a)$22176 \mathrm{cm}^{3}$
(b)$33951 \mathrm{cm}^{3}$
(c)$38808 \mathrm{cm}^{3}$
(d)$42304 \mathrm{cm}^{3}$
Answer
Explanation
$$\begin{aligned} & 4 \pi r^{2}=5544 \Rightarrow r^{2}=\left(5544 \times \frac{1}{4} \times \frac{7}{22}\right)=441 \Rightarrow r=21 . \\ & \therefore \text { Volume }=\left(\frac{4}{3} \times \frac{22}{7} \times 21 \times 21 \times 21\right) \mathrm{cm}^{3}=38808 \mathrm{cm}^{3} . \end{aligned}$$
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