Math, asked by deekshitham296, 2 months ago

A Milk tank is in the shape of a cylinder with hemispheres of same radius attached to both ends of it . If the total length of the tank is 6m and the radius is 1m. Calculate the maximum quantity of milk filled in the tank in liters . (take = 22/7 )​

Attachments:

Answers

Answered by RehaNAhmed007
2

Answer:

The maximum milk storing capacity of the tank is 17800 litres. The total surface area of the tank is 40.84 m². Now,from the basic concept of geometry,the height of the hemisphere will be equal to the radius of the hemisphere which is 1 metre. = 17.8 m³

Answered by kimrose011
194

 \underline \mathfrak \pink{Question-:}

> A Milk tank is in the shape of a cylinder with hemispheres of same radius attached to both ends of it . If the total length of the tank is 6m and the radius is 1m. Calculate the maximum quantity of milk filled in the tank in liters . (take = 22/7 )

 \underline \mathfrak \pink{Answer-:}

Required formulas -:

 \bold{volume \: of \: hemisphere =  \frac{2}{3}}\pi {r}^{3}

 \bold{volume \: of \: cylinder = \pi {r}^{2}}

Given length of milk tank = 6 cm

Then radius , r = 1 m

In the question it is given that the milk tank is in the shape of cylinder with same hemisphere and the same radius attached to it at the ends ! So ,

Height of cylinder = 6 -1 -1 = 4 m

Hence ,

The volume of tank =

[2*{volume of hemisphere}] +[volume of cylinder]

(2 * \frac{2}{3} \pi {r}^{3}  + (\pi {r}^{2}h)

(2* \frac{2}{3} * \frac{22}{7} *1 {}^{3} ) + ( \frac{22}{7} *1 {}^{2} *4)

= 4.19 +12.571

=16.761 m²

As we know , 1m² = 1000 litres

Therefore ,

The maximum quantity would be ,

= 16.761 *1000

= 16761 litres

Answered by-:

@ᴋɪᴍʀᴏꜱᴇ011

( ☘Apologies for any mistakes in the above)

( ☘Not a copied answer)

Similar questions