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 6meter and radius is 1meter calculate the maximum quantity of milk filled in the tank in liters and also calculate the total surface area of the tank​

Answer 1

Answer:

VOLUME OF MILK TANK = 16,760 litres

T. S. A. OF TANK = 37.71 m

Step-by-step explanation:

Refer the photos

Answer 2

1) Maximum quantity of milk filled in the tank in liters = 16760 $l$

2) Total surface area of the tank = 37.71 m.

Given Data:  

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

The total height if the cylinder is 6 meter.

the radius of hemisphere is 1 meter. Hence r = 1 meter

To find the height of cylinder h= 6 -1 -1 =4 meter

                                                 

To Find:

1) To find the maximum quantity of milk filled in the cylinder tank.

2) To find the total surface area of the tank.

Solution: To find capacity of milk filled in the cylinder tank.

Volume of tank = Volume of cylinder + volume of 2 hemisphere

    since, Volume of cylinder = $\pi r^{2} h$

               Volume of hemisphere = $\frac{2}{3}\pi r^{3}$

Volume of tank = $\pi r^{2} h$ + $2(\frac{2}{3}\pi r^{3} )$

                         = $\frac{22}{7} \times 1^{2} \times4$  $+ 2(\frac{2}{3}\times \frac{22}{7} \times1^{3} )$        

                         = $\frac{88}{7}$ + $\frac{88}{21}$

                         = $\frac{352}{21}$

                         = 16.76 $m^{3}$.

Quantity of milk filled = 16.76 $m^{3}$

                                   = 16.76 $\times$ 1000

              Quantity            = 16760 Liters.

2) To find the total surface area of the tank.

Total surface area of tank = Total surface area of cylinder + Total surface area of 2 number hemisphere.

T.S.A = T.S.A of cylinder + T.S.A of 2 hemisphere

        = $2\pi rh$ + $2(2\pi r^{2} )$

        = 2$\pi$$r$ ( $h +$ $2r$ )

        =  $2\times\frac{22}{7} \times1(2(1)+4)$

       $=2\times\frac{22}{7} \times6$

      $= \frac{264}{7}$

 T.S.A     $=37.71meter$

Hence we get,

1) Maximum quantity of milk filled in the tank in liters = 16760 $l$

2) Total surface area of the tank =$=37.71meter$

To learn more...

1) Milk tank is the shape of a cylinder with a hemisphere of same radius are attached to both ends of it as soon as a visa if the total height of the tank is 6 metre and the radius is 1 metre calculate the maximum quantity of the milk fill in the tank in litres​

https://brainly.in/question/14141142

2) A milk tank is in the shape of cylinder with a hemisphere of same radii attached to both in office as shown in figure if the total height of the tank is 66 metre and the radius is 1 calculate the maximum quantity of milk in Lead in the tank in litres and also calculate the total surface area of the tank​

https://brainly.in/question/15758251