Question

A housing society consist of a cylindrical supply tank 10 m high and having base area 154m^2 .What is the diameter of the tank and also find capacity of the tank in liters...

Answer 1

Given That

• Height of Cylinder Tank=10m
• Base Area =154m²

To Find

• Diameter Of The Tank
• Capacity of the tank in liters

Step by step explanation

We have

$\text{ Base Area of cylinder=154m² }$

$\text{ πr²=154 }$

$\text{ 22/7×r²=154 }$

$\text{ r²=154×7/22 }$

$\text{ r²=1078/22 }$

$\text{ r²=49 }$

$\text{ r=√(7×7) }$

$\text{ r=7m }$

Radius of Cylinder=7m

• $\text{ Diameter Of The Tank = 2r=2×7=14m}$

$\text{ Volume of Cylinder Tank= πr²h }$

$\text{ Volume of Cylinder Tank= 22/7×7²×10 }$

$\text{ Volume of Cylinder Tank= 22×7×10 }$

$\text{ Volume of Cylinder Tank= 22×70 }$

$\text{ Volume of Cylinder Tank= 1540m ³ }$

We know that

1m³=1000L

$\text{ Capacity Of The Tank In Liters=15400×1000 }$

• $\underline{\boxed{\text{ \pink{ Capacity Of The Tank In Liters=15400000L } } } }$

Answer 2

${\Huge{ \red{\underline{\underline{\bf{\maltese \pink{ Ànswer: \: }}}}}}}$

Correct option is::-

1 day

Quantity of water required for 5500 people for

1 day =5500×100=550000litres

Volume of cylindrical supply tank =πr^2

h= 7/22 ×5×5×7=550m^3

=550,000litres

Number of days =

550000/550000 =1day