Question

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

• A. 1014∏ cm²
• B. 1044∏ cm²
• C. 1024∏ cm²
• D. 1034∏ cm²

Answer 1

Answer:

A. 1014∏ cm²

Curved surface area of a hemisphere:

$\text{CSA} = 2\pi r^2$

Given $( r = 13\sqrt{3} )$ cm:

$r^2 = (13\sqrt{3})^2 = 169 \times 3 = 507$
$\text{CSA} = 2\pi \times 507 = 1014\pi$

Final Answer:

$(1014\pi ,\text{cm}^2)$