Question

3.
The height of a cone is 15 cm. If its volume is 1570 cm", find the radius of the base.
(Use = 3.14).​

Answer 1

➢ Given:

• Height of a cone ➠ 15 cm

• Volume of a cone ➠ 1570 cm³

➢ To Find:

• Radius of a cone ➠ ?

➢ Solution:

➦Volume of a cone ➠ 1/3πr²h ➙ 1570

➦Volume of a cone ➠ 1/3 × 3.14 × r² × 15 ➙ 1570

➦Volume of a cone ➠ 3.14 × r² ➙ 1570/5

➦Volume of a cone ➠ 1/3 × r² ➙ 314

➦Volume of a cone ➠ r² ➙ 314/3.14

➦Volume of a cone ➠ r² ➙ 314 × 100 / 314

➦Volume of a cone ➠ r² ➙ 100

➦Volume of a cone ➠ r ➙ √100

➦Volume of a cone ➠ r ➙ 10 cm

Hence, the radius of the cone is 10 cm

➢ More Formula for volume:

• Volume of Cuboid ➠ l × b × h

• Volume of Cube ➠ a³

• Volume of Sphere ➠ 4/3πr³

• Volume of Hemisphere ➠ 2/3πr³

• Volume of Cone ➠ 1/3πr²h

• Volume of Cyclinder ➠ πr²h