Question

A solid metal cylinder of radius 6 cm and height 18 cm is melted down and recast as a cone of radius 6 cm. What is the height of the cone?

Answer 1

Answer:

hieght = 54 cm

solution in image..

hope it helps..

Answer 2

Answer:

54 cm

Step-by-step explanation:

volume of cylinder is

$\pi {r}^{2} h = \frac{22}{7} \times {6}^{2} \times 18$

volume of cone is

$\frac{1}{3}\pi {r}^{2} h = \frac{1}{3} \times \frac{22}{7} \times {6}^{2} \times h$

given that volume is equal

$36 \times 18 = \frac{36h}{3}$

$18 = \frac{h}{3}$

$h = 54cm$