Question

Volume of cylinder is 100cm3 then find the volume of cone for the same height and same radius.?

Answer 1

Answer: Volume of cylinder = 3 × Volume of cone

Hence volume of cone = 1/3 * volome of cylinder

= 100/3

= 33.33cm^3

Answer 2

Given : Volume of cylinder is 100 cm³.

To find : The volume of cone with the same height and same radius.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the volume of the said cone)

Let, the height and radius of the cylinder = h cm and r cm, respectively

So, the height and radius of the cone = h cm and r cm, respectively

(As, the cone and cylinder share same height and radius)

Now, the volume of the cylinder :

= π × (radius)² × height

= (π × r² × h) cm³

According to the data mentioned in the question,

π × r² × h = 100

Now, the volume of the cone :

= ⅓ × π × (radius)² × height

= ⅓ × (π × r² × h)

= ⅓ × 100 [As, π × r² × h = 100]

= 33⅓ cm³

(This will be considered as the final result.)

Hence, the volume of the cone is 33⅓ cm³.