Question

a milk tank is in the form of cylinder whose radius is 2 m and length is 7 m. Find the quantity of milk in litres that can be stored in the tank​

Answer 1

Hey Mate!! Here is your answer...

Step-by-step explanation:

Question :-

A milk tank is in the form of a cylinder whose radius is 1.5 m and length is 7 m. Find the quantity of milk in litres that can be stored in the tank.

Given :-

Milk tank is in cylinder shape.

Radius = 1.5m

Length = 7m

To find :-

Quantity of milk?

quantity should be in metres ?

Solution :-

r = 1.5 m, h = 7 m

.’. Volume of the milk tank

= π{r}^{2}hπr2h

= \dfrac{22}{7}722 × 1.5 × 1.5 × 7

= 22 × 2.25

= 49.50 {m}^{3}m3

__________

Volume of milk in litres

= 49.50 × 1000 L (∵ 1 m3 = 1000 litres)

= 49500 L

Hence, the required volume

= 49500 L.

Hope you got it

Answer 2

${\underline{\underline{\bf{Given:}}}}$

• A milk tank is in the shape of cylinder.
• The radius of the cylindrical tank is 2 metres.
• The height of the cylindrical tank is 7 metres.

${\underline{\underline{\bf{Need\:to\:find:}}}}$

• The quantity of milk that can be stored in the tank.

${\underline{\underline{\bf{Formula\:to\:be\:used:}}}}$

The formula that we use to calculate the volume of a cylinder should be used here, as it's given in the question to find the quantity of milk that can be stored in the tank.

$\underline{\boxed{\sf{{Volume}_{(cylinder)}=\pi {r}^{2}h\:cu.units}}}$

${\underline{\underline{\bf{Solution:}}}}$

Volume of the milk tank:

By substituting the given measures in the formula,

$\:\:\:\:\:\:\:\implies{\sf{\pi{r}^{2}h\:cu.units\:\:\:\:\:\:\:(\pi=\frac{22}{7})}}$

$\:\:\:\:\:\:\:\implies{\sf{\frac{22}{\cancel{7}}\times {2}^{2}\times \cancel{7}}}$

$\:\:\:\:\:\:\:\implies{\sf{22\times {2}^{2}}}$

$\:\:\:\:\:\:\:\implies{\sf{22\times 2\times 2}}$

$\:\:\:\:\:\:\:\implies{\sf{22\times 4}}$

$\:\:\:\:\:\:\:\implies{\underline{\underline{\sf{88\:{m}^{3}}}}}$

Quantity of milk that can be stored:

In the question, it's given to find the quantity of milk that can be stored inside the milk tank in the unit of litres. So, 88 m³ should be converted into litres.

$\sf{As\:we\:know,}$

${\boxed{\sf{1\:{m}^{3}=1,000\:litres}}}$

$\:\:\:\:\:\:\:\rightarrow{\sf{88\:{m}^{3}=88\times 1,000}}$

$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\underline{\sf{\red{88,000\: litres}}}$

${\underline{\underline{\bf{Final\:answer:}}}}$

• 88,000 litres of milk can be stored in the milk tank of given measures.

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