Question

The volume of the cone is 162πyd. The height is 6yd. What is the radius of the cone?

Answer 1

Hello Hena !

Answer:

9 yd.

Step-by-step explanation:

Given :

Volume of the cone = 162π yd.

Height of the cone = 6 yd.

Formula :

Volume of a Right Circular Cone = (1/3)πr²h, Where

• r is the radius of the base of the cone.
• h is the height of the cone.

Procedure :

V = (1/3)πr²h

⇒ 162π = (1/3)πr²(6)

⇒ 162 = (1/3)r²(6)

⇒ 162 = 2r²

⇒ 81 = r²

⇒ r = ± 9 yd.

As the radius can never be negative,

∴ r = 9 yd.

Hence the radius of the base of the cone = 9 yd.

Thanks !