Question

A milk tank is in the shape of cylinder with hemisphere of same radii attached to both ends of it .If the total height of the tank is 6m and the radius is 1m .calculate the maximum quantity of milk filled in the tank in liters .And also calculate the total surface area of the tank

Answer 1

The total surface area of tank is  50.24  sq meters

Step-by-step explanation:

Given as :

A milk tank is in the shape of cylinder with hemisphere of same radii attached to both ends of it .

The height of cylinder tank = h = 6 m

The radius of cylinder tank = r = 1 m

As hemisphere is attached on cylinder , So, radius of hemisphere = r = 1 m

Let The total surface area of tank = A sq m

According to question

The total surface area of tank = curved surface of cylinder + surface are of both hemisphere

Or,  TSA = 2 × π × r × h  + 2 ( 2 × π × r² )

where r is radius

          h is height

Or,  A = 2 × 3.14 × 1 × 6  + 2 ( 2 × 3.14 × 1² )

Or,  A = 37.68 + 2 ( 6.28 )

∴    A = 50.24  m²

So, The total surface area of tank = A = 50.24  m²

Hence, The total surface area of tank is  50.24  sq meters  Answer