A cylindrical vessel open at one end is made of thin copper sheet The area of the inner surface - Maths - Surface Areas and Volumes

Question

A cylindrical vessel open at one end is made of thin copper sheet
The area of the inner surface area is 148 5 sq dm and the area of
base is 38 5 sq dm How many cu dm of milk will the vessel hold?

Manbar Singh · Accepted Answer

Let r be the radius of the base and h be the height of the vessel
Now, area of base = 38
5 dm2⇒πr2 = 38
5⇒227×r2 = 38 5⇒r2 = 38
5 × 722 = 12 25⇒r = 3
5 dmNow, area of inner surface = 148
5 dm2⇒2πrh = 148
5⇒2 × 227 × 3
5 × h = 148 5⇒h = 148
522 = 6
75 dmNow, capacity of vessel = πr2h = 227×3
52×6 75 = 259 875 dm3

A cylindrical vessel open at one end is made of thin copper sheet. The area of the inner surface area is 148.5 sq dm and the area of base is 38.5 sq dm. How many cu dm of milk will the vessel hold?