Question

if i have the volume of a cone and the height of the cone, and I need to find the area and base, how do i work the equation?

Answer 1

Hello amyvoyles !

Answer:

Area of the Base = 3V/h

Where V is the Volume of the Right Circular Cone and h is the Height.

Step-by-step explanation:

Formulae :

Assuming that the cone mentioned in the question is a Right Circular Cone,

Volume of the Cone = (1/3)πr²h

Where r is the radius of the base, and h is the Right height.

Area of a circle = πr²

Height of the cone = h

To find :

Area of the Base

Procedure :

As V = (1/3)πr²h

⇒ V = (1/3) × πr² × h

Area of the Base = πr²

Let Area of the base be A.

⇒ V = (1/3) × A × h

⇒ 3V = A × h

∴ A = 3V/h

Hence, Area of the Base = 3V/h.

Thanks !