Question

if we change the shape of an shape from a sphere to cylinder then the volume of cylinder will be​

Answer 1

The real question should be, What is the relationship between the volume of a cylinder and a sphere?

Well..

The formulas for the volume of a sphere and the volume of a cylinder are well known. The height of the cylinder is twice that of the radius of the sphere. As we can seem the ratio is 2/3. The surface area of a sphere is also a well-known to anyone who has spent teenage years in math class.

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Answer 2

The volume of the cylinder will be equal to the volume of the sphere.

Given

Original shape - sphere.

Final shape - cylinder

TO FIND

The volume of the cylinder.

SOLUTION

We can simply solve the given problem as follows;

It is given that,

That the shape is changed from a sphere and then to a cylinder.

we know that the volume of a 3-dimensional object is the space occupied by the object.

or, volume is used to represent the amount required to fill that object.

Since a three-dimensional object(sphere) is converter into another three dimension object (cylinder) The volume will remain the same.

$Volume \: of \: sphere \: = \frac{4}{3} \pi \: {r}^{ {3} }$

Where,

r = radius of the sphere.

$volume \: of \: cylinder = \pi \: {R}^{2} h \:$

Where,

R = radius of the circular base

h = height of the cylinder.

Since Sphere is converted to the cylinder

so,

The volume of the cylinder = volume of the sphere.

so,

4/3 π r³ = πR²h

4π r³ = 3πR²h

4r³ = R²h

We can conclude that, 4 times the cube of the radius of the square will be equal to the square of radius of cylinder multiplies by its height.

Hence, The volume of the cylinder will be equal to the volume of the sphere.

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