 # volume of a cylinder is 120 cm cube find the volume of a cone if the radius and height of the cone and cylinder are equal​

Math

## Question

volume of a cylinder is 120 cm cube find the volume of a cone if the radius and height of the cone and cylinder are equal​

• ### 1. User Answers urjaan01

Radius of cone and cylinder = r

height of cone and cylinder= h

volume of cylinder= 258cm³

πr²h = 258. ........(1)

volume of cone = 1/3πr²h

= 1/3 × 258. { from eq. (1)}

volume of cone = 86 cm³

• ### 2. User Answers Syamkumarr

Volume of the cone = 40 cm³

Step-by-step explanation:

Volume of the cylinder = 120 cm³

Radius and height of a cone is same as the radius and height of the cylinder

here we need to find volume of the cone

Note:

If the radius and height of a cone is same as the radius and height of the cylinder then

volume of the cone = $$\frac{1}{3}$$(volume of the cylinder)

From given data volume of the cylinder = 120 cm³

volume of the cone = $$\frac{1}{3} (120)$$

= 40 cm³