Question

If the height and the base area of a right circular cone are $5cm$ and $48sq.cm$ respectively, then the volume of the cone is equal to

• A. $240{cm}^3$
• B. $120{cm}^3$
• C. $80{cm}^3$
• D. $480{cm}^3$

Answer 1

Answer: (C)

$80{cm}^3$

We have,

$h=5cm$

Base area $=48c{m}^2$

$\pi r^2=48\Rightarrow r=3.9cm$

We know that the volume of the cone

$=\frac{1}{3}\pi r^{2}h$

So,

$=\frac{1}{3}\times \frac{22}{7}\times (3.9{)}^2\times 5$

$=79.89\approx 80c{m}^3$

Hence, this is the answer.