Question

The volume of a right circular cone is $9856{cm}^3$. If the diameter of the base if $28cm$, find curved surface area of the cone in $c{m}^2$.

• A. $210$
• B. $454$
• C. $874$
• D. None of the above

Answer 1

Answer: (D)

Given, volume of the right circular cone $=9856c{m}^3$ and diameter of the base $=28cm$.
Then, radius of the base $=14cm$.

According to the given condition,
Volume of cone $V=\frac{1}{3}\pi r^{2}h=9856$

$⟹\frac{1}{3}\times \frac{22}{7}\times {14}^2\times h=9856⟹h=48cm$.