Question

A cylinder made of wax is melted and recast completely into a sphere.
Then the volume of the sphere is​

Answer 1

Answer:

The volume of sphere is same as that of cylinder.

Step-by-step explanation:

It is given that cylinder made of wax is melted and recast completely into a sphere.

We need to determine the volume of sphere.

If we think logically, one shape is moulded into another, but the capacity will remain the same.

Capacity is same as volume.

Hence, the volume of both cylinder and sphere will be same.

Mathematically, if the volume of cylinder $V_{1}$

and volume of sphere is $V_{2}$

Then

$V_{1} =V_{2}$

#SPJ3

Answer 2

Answer:

Volume of sphere = volume of cylinder.

Step-by-step explanation:

Given: A cylinder made of wax, and a recasted sphere.

To find: The volume of the sphere.

Solution: A cylinder is given which is made of wax.

           This cylinder is melted and reshaped into a sphere.

Now the amount(or capacity) of wax used in cylinder is again used to recast to form a new solid -sphere.

One solid is completely moulded into another solid without leaving any wax. Even if the solid recast completely into another solid the volume remains the same.

So the capacity of cylinder will be same as the capacity of sphere.

That means the capacity of the cylinder and sphere are equal.

We use the word 'volume' in place of capacity.

Therefore, the volume of cylinder = volume of sphere.

∴      πr²h = 4/3πr³

#SPJ2