Question

the area of the base of the cylinder is 45 square inches and it's height is 10 inches. A vine has the same area of its base and the same height. what is the volume of the cone ?

Answer 1

its 150in darling

Explanation:

Answer 2

The volume of cone = 5.369 inches³

Explanation:

Given as :

The curved surface area of cylinder = 45 inches²

The height of cylinder = 10 inches

Now, curved surface area of cylinder = 2 ×
`\pi` × r × h

where r is radius

and h is height

So , 2 ×
`\pi` × r × h = 45 inches²

So, r =
`(45)/(20\pi )`

Now, Cone have same base are and height

Let The volume of cone = v

Since The volume of cone =
`(1)/(3)` ×
`\pi`×r²×h

So, The volume of cone =
`(1)/(3)` ×
`\pi`× (
`(45)/(20\pi )`)² × 10

Or, The volume of cone =
`(945)/(176)`

The volume of cone = 5.369 inches³ Answer