Question

A cone, a cylinder and a cuboid have the same volume and height, which one will have the highest base area?

Answer 1

Answer:

Cone

Step-by-step explanation:

Let the height of cone,cylinder, cuboid be h as they are equal

Let the volume be V

Let radius of cone= R1

Let radius of cylinder=R2

Volume of cone= (22/7)* R1^2 *h/3

Volume of cylinder= (22/7) * R2^2 *h

As volume of cone=Volume of cylinder

R1²/3= R2²

Therefore R1>R2

Area of cone>Area of cylinder

Volume of cuboid= Area*h

Volume of cylinder=Area*h

Therefore area of cuboid=area of cylinder

Hence area of cone is greatest