Question

In a circus, a motorcyclist performs his stunts inside a hollow sphere. The thickness of the sphere is negligible. If the diameter of the hollow sphere is 14 m, then find the area available for the motorcyclist to perform his stunts.
$(use\pi =\frac{22}{7})$

• A. 516 $m^2$
• B. 616 $m^2$
• C. 586 $m^2$
• D. 486 $m^2$

Answer 1

The correct option is B

616 $m^2$

Radius of the sphere
$=\frac{diameter}{2}=\frac{14}{2}=7m$

Area available to the motorcyclist = Surface area of the sphere
$=4\pi r^2$
$=4\times \frac{22}{7}\times 7^2$
$=616m^2$

Hence, the available area to the motorcyclist is 616 $m^2$.