Question

A cylinder and a cone have the same base area but volume of cylinder is twice the volume of cone. Find the ratio of heights

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The ratio of heights is 2:3

Given : A cylinder and a cone have the same base area but volume of cylinder is twice the volume of cone.

To find : The ratio of their heights.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the ratio of their heights)

Let, their equal bade area = x unit

Let, the height of cylinder = h1

Let, the height of cone = h2

Now,

Volume of cylinder = Base area × height = (x × h1) unit³

Volume of cone = ⅓ × Base area × Height = (⅓ × x × h2) unit³

According to the data mentioned in the question,

Volume of cylinder = 2 × volume of cone

x × h1 = 2 × ⅓ × x × h2

h1 = ⅔ × h2

h1/h2 = ⅔

h1 : h2 = 2:3

(This will be considered as the final result.)

Hence, the ratio of their heights is 2:3