Answer:
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