Question

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

Answer 1

Step-by-step explanation:

radius=1cm

height=6cm

tot surface area= πr(2h+r)

=22/7*1(2*6+1)

=40.82

vol=πr^2*h

=3.14*1*5

=18.84

TSA=40.82CM^2

VOL=17.84CM^3

Answer 2

The maximum quantity of milk filled in the tank = 0.023 liter.

Given:

• A milk tank is in the shape of cylinder with hemisphere of same radii attached to both ends of it .
• Height of the tank is 6 cm.
• Radius is 1 cm.

To find:

      The maximum quantity of milk filled in the tank in liters.

Formula used:

• Volume of sphere = $\frac{4}{3}$ ×$\pi$ × (Radius)³

• Volume of cylinder =$\pi$ × (Radius)² × Height
• 1 liter = 1000 cm³

Explanation:

• Tank contain two hemisphere that is one full sphere
• Radius of sphere = 1 cm.
• So, Volume of sphere = $\frac{4}{3}$ ×$\pi$ × (Radius)³

               Volume of sphere =$\frac{4}{3}$ ×$\pi$ × (1)³

               Volume of sphere =4.188 cm³.

• Also tank contain a cylinder of radius 1 cm. height = 6 cm.
• Volume of cylinder =$\pi$ × (Radius)² × Height

                                = $\pi$ × (1)² × 6

                                = 18.849 cm³.

• Total volume of tank =  Volume of sphere + Volume of cylinder

                                           = 4.188 + 18.849

                                           = 23.037 cm³

• 1 liter = 1000 cm³

• There fore 23.07 cm³ = 0.023 liter.
• The maximum quantity of milk filled in the tank = 0.023 liter.

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