Question

If the base area of a cone is $616c{m}^2$, its height is $48cm$, then its slant height is:

• A. $25cm$
• B. $50cm$
• C. $18cm$
• D. $8cm$

Answer 1

Answer: (B)

$50cm$

We know, the base of a cone is a circle.

Therefore, the base area $=\pi \times r^2$

$\Rightarrow$ $616=$ $\pi \times r^2$

$\Rightarrow r=14cm$

Also, the height of the cone $h=48cm$.

Now, we know,

$l^2=r^2+h^2$

$\Rightarrow$$l^2={14}^2+{48}^2$

$\Rightarrow$$l^2=2500$

$\Rightarrow l=50cm$

Hence, option $B$ is correct.