Question
Find the surface area of the sphere (in $cm^2$) whose radius is 168 cm and $\pi = 22/7$.
The correct answer is
354816
To find the surface area of a sphere, we can use the formula:
\[\text{Surface Area} = 4\pi r^2\]where r is the radius of the sphere.
Given that the radius \(r = 168 \, \text{cm}\) and \(\pi = \frac{22}{7}\), we can substitute these values into the formula:
\[\text{Surface Area} = 4 \times \frac{22}{7} \times (168)^2\]First, calculate \((168)^2\):
\[168^2 = 168 \times 168 = 28224\]Now, substitute \(28224\) into the surface area formula:
\[\text{Surface Area} = 4 \times \frac{22}{7} \times 28224\]Calculate the multiplication:
\[4 \times \frac{22}{7} \times 28224 = 4 \times 88704 = 354816\]Therefore, the surface area of the sphere is \(354816 \, \text{cm}^2\).
Hence, the correct answer is 354816.
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Important Questions from Solid Figures
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