Question

Curved surface area of solid sphere is $24{cm}^2$. If the sphere is divided into two hemispheres, then the total surface area of one of the hemispheres is :

• A. $12{cm}^2$
• B. $8{cm}^2$
• C. $16{cm}^2$
• D. $18{cm}^2$

Answer 1

Answer: (D)

$18{cm}^2$

$\text{Curved surface area of solid sphere}=4\pi r^2$
$\Rightarrow 4\pi r^2=24$
$\Rightarrow \pi r^2=6$ ...(i)
Now, total surface area of hemisphere$=3\pi r^2$
$\therefore \text{Total surface area of hemisphere}=3\left(6\right)=18c{m}^2$ (from (i))
Option D is correct.