Question

If the volume of a right circular cone is equal in magnitude to the area of its base ,find its height​

Answer 1

Step-by-step explanation:

Let the height be h and base radius r.

According to question,

area of the base=volume of cone

=> πr²=(1/3)πr²h

=>(1/3)h=1(cancelling πr² from both the sides)

=> h=3

So height of the cone is 3 units.

Answer 2

Answer:

3 unit

Step-by-step explanation:

let A be the area of base and h be the height

volume of cone = 1/3* area * height

= 1/3 Ah

this is equal in magnitude to A

thus 1/3Ah = A

h= 3 unit