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If the radius of a hemisphere is 13√3 cm, find its curved surface area.
Question

If the radius of a hemisphere is 13√3 cm, find its curved surface area.

A.

1014π cm²

B.

1044π cm²

C.

1024π cm²

D.

1034π cm²

Correct option is A

Given:

- Radius (r) = 13√3 cm

Formula Used:

- Curved Surface Area (CSA) of a hemisphere = 2πr²

Solution:

r=133 cmCSA=2πr2=2×π×(133)2=2π×169×3=π×1014=1014πr = 13\sqrt{3} \ \text{cm} \\\text{CSA} = 2\pi r^2 = 2 \times \pi \times (13\sqrt{3})^2 \\= 2 \pi \times 169 \times 3 \\= \pi \times 1014\\= 1014\pi​​

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