Question

A solid metal cylinder of base radius $3cm$ and height $5cm$ is melted to make $n$ solid cones fo height $1cm$ and base radius $1mm$. Then value of $n$ is

• A. $450$
• B. $1350$
• C. $4500$
• D. $13500$

Answer 1

The correct option is D $13500$

Radius = 3 cm Height = 5 cm

cones$\Rightarrow$ h=1 cm Radius = 1 mm

No of cones$=\frac{volumeofcylinder}{volumeof1cone}$

n = $\frac{\pi \left(3\right)\left(3\right)\left(5\right)}{\frac{1}{3}\pi \left(\frac{1}{10}\right)\left(\frac{1}{10}\right)\left(1\right)}$

n = $3\times 3\times 10\times 10\times 3\times 3\times 5$

n = 13500