Question

The capacity of cylindrical tank is 3080000L.Find the diameter of the base of tank if the height is 20m

Answer 1

Step-by-step explanation:

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Answer 2

Answer:

The diameter of the base of the is 14 metres.

Step-by-step explanation:

Given that,

The capacity of a cylindrical tank is 30,80,0000 litres. It's height is 20metres.

Here, the height(metres) and the capacity(litres) is given we need to find it's diameter of the base.

Step 1 :

Convert the capacity in metres :

∵ 1 litre = 0.001 m³

∴ 30,080 litre = 3080 m³

Step 2 :

Finding the radius of the tank :

• The tank is in cylindrical shape.

We know that,

→ Volume of cylinder = πr²h

• Taking π as 22/7
• h (height) = 20 m (given)

So,

→ 3080 = 22/7 × r² × 20

→ 3080 = 20*22/7 × r²

→ 3080*7/22*20 = r²

→ 21560/440 = r²

→ 49 = r²

→ √49 = r

→ 7 = r

∴ The radius of base of the tank is 7m.

The diameter will be :

→ 7×2

→ 14 metres. [∵ r (radius) is half of the diameter]