Question

The material of cone converted into a shape of cylinder of equal radius. lf the height and radius of the cone are 1 m and 1 m respectively we ,then if the height of the cylinder​

Answer 1

Answer:

Given that solid cone is converted into shape of solid cylinder of equal radius.

Then their volumes must be equal.

Therefore, volume of cone = volume of cylinder

Here height of cylinder is 5 cm. We need to find height of cone.

Let height of cone be h and height of cylinder be H.

Thus

3

1

π.r

2

.h=πr

2

H

⇒

3

1

πr

2

h=5.πr

2

⇒h=15 cm

Answer 2

Answer:

Correct option is A)

Given that solid cone is converted into shape of solid cylinder of equal radius.

Then their volumes must be equal.

Therefore, volume of cone = volume of cylinder

Here height of cylinder is 5 cm. We need to find height of cone.

Let height of cone be h and height of cylinder be H.

Thus

answer=h=15cm

Step-by-step explanation:

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

$\frac{1}{3}\pi {r}^{2}h = 5.\pi {r}^{2}$

$h = 15cm$