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 × [tex]\pi[/tex] × r × h
where r is radius
and h is height
So , 2 × [tex]\pi[/tex] × r × h = 45 inches²
So, r = [tex]\frac{45}{20\pi }[/tex]
Now, Cone have same base are and height
Let The volume of cone = v
Since The volume of cone = [tex]\frac{1}{3}[/tex] ×[tex]\pi[/tex]×r²×h
So, The volume of cone =[tex]\frac{1}{3}[/tex] × [tex]\pi[/tex]× ([tex]\frac{45}{20\pi }[/tex])² × 10
Or, The volume of cone = [tex]\frac{945}{176}[/tex]
The volume of cone = 5.369 inches³ Answer
