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 ?

The volume of cone = 5.369 inches³

Step-by-step explanation:

Given as :

The curved surface area of cylinder = 45 inches²

The height of cylinder = 10 inches

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

where r is radius

and h is height

So , 2 × × r × h =  45 inches²

So, r =

Now, Cone have same base are and height

Let The volume of cone = v

Since The volume of cone = ××r²×h

So,  The volume of cone =  × × ()² × 10

Or,  The volume of cone =

      The volume of cone = 5.369 inches³ Answer