Question

A solid metal sphere is cut through the center into two equal parts. Find the total surface area of each part if the radius of the sphere is $3.5cm$.

• A. $115.5c{m}^2$
• B. $151.5c{m}^2$
• C. $155c{m}^2$
• D. $151c{m}^2$

Answer 1

The correct option is A $115.5c{m}^2$

Given, radius of the hemisphere $=3.5cm$.

According to the statement, the parts obtained are hemisphere.

Then, the total surface area of each hemisphere$=3\pi r^2$

$=3\times \frac{22}{7}\times 3.5\times 3.5=115.5c{m}^2$.

Therefore, option $A$ is correct.