Hemisphere Curved Surface Area Calculation
The question asks for the curved surface area of a hemisphere with a given radius.
Formula and Given Values
The formula for the curved surface area (CSA) of a hemisphere is:
\( \text{CSA} = 2 \pi r^2 \)
Given the radius (\(r\)):
\( r = 125 \text{ cm} \)
Step-by-Step Calculation
Substitute the value of the radius into the formula:
\( \text{CSA} = 2 \pi (125)^2 \)
First, calculate the square of the radius:
\( 125^2 = 15625 \)
Now, multiply this by \(2\pi\):
\( \text{CSA} = 2 \pi \times 15625 \)
\( \text{CSA} = 31250 \pi \)
Final Answer
The curved surface area of the hemisphere is \(31250 \pi \text{ cm}^2\). This matches Option A.
Similar Questions
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Important Questions from Mensuration
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- A cylindrical rod has an outer curved surface area of 1800 cm$^2$. If the length of the rod is 52 cm, then the outer radius (in cm) of the rod, correct to two places of decimal, is:
Take $\pi = \frac{22}{7}$
