Question

Q2. A solid cylinder is melted and cast into a cone of same radius. The heights of the
cone and cylinder are in ratio
a) 9:1
b) 1:9
c) 3:1
d) 1:3​

Answer 1

Answer: 1:3

Step-by-step explanation:

Since the cylinder is melted and a cone is made...

Volumes of both are equal

ie πr^2 * h = 1/3πr^2 * h

Since π , and r are equal, they get cancelled

So 1/3h = h

ie they are in ratio 1/3

Answer 2

Answer:

answer is (c) 3:1

volume of cylinder is

$\pi \: {r}^{2} h$

volume of cone is

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

given same radius and equal hight

so

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

= 3 : 1