Practice | Hashtable

1. The curved surface area of a sphere is 5544 sq.cm. Its volume is :

A. 22176 cm³

B. 33951 cm³

C. 38808 cm³

D. 42304 cm³

Solution:

\begin{aligned} 4 π r^{2} = 5544 \\ \Rightarrow r^{2} = (5544 \times \frac{1}{4} \times \frac{7}{22}) \\ \Rightarrow r^{2} = 441 \\ \Rightarrow r = 21 \end{aligned}

∴ Volume :

\begin{aligned} = (\frac{4}{3} \times \frac{22}{7} \times 21 \times 21 \times 21) c m^{3} \\ = 38808 c m^{3} \end{aligned}

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