Question

8. A solid cylinder of glass whose diameter is 1.5 m and height 1 m is melted and turned into a sphere. The diameter of the sphere is (A) 1 m (8) 0.75 m (C) 1.25 m (D) 1.5 m​

Answer 1

Answer:

Given that diameter and height of solid cylinder is 1.5 m and 1 m

Then radius of solid cylinder =

2

1.5

=0.75m

So volume of solid cylinder =π×(0.75)

2

×1=π×0.75×0.75sq m

But solid cylinder is melted and turned it to sphere

Then volume of sphere=π×0.75×0.75

Let the radius is R of sphere

Then volume =

3

4

π(R)

3

∴π×0.75×0.75=

3

4

πR

3

⇒

4

3

m

SO diameter=2×

4

3

=

2

3

=1.5 m