Question

5. A cylindrical water tank is 2.1 m long and its radius is 1 m. Find the quantity of the water
in litres that can be stored in the tank.​

Answer 1

V=n(pie)r^2h

22/7×1^2×2.1

22/7×1×2.1

6.6m^3

1m^3=1000litres

Volume of litres=6.6×1000

6600 litres

Answer 2

Given -

• Height of cylinder tank = 2.1m

• Radius of cylinder tank = 1m

To find -

• Quantity of water, that can be stored.

Solution -

Here, in the question, we are given with the height and radius of the cylinder tank, so, we will first find the volume of cylinder, by using the formula of volume of cylinder.

Volume of cylinder = πr²h

π = $\sf\dfrac{22}{7}$

r = Radius

h = Height

On substituting the values -

Volume = πr²h

$\longmapsto$ Volume = $\sf\dfrac{22}{7}$ × (1)² × 2.1

$\longmapsto$ Volume = $\sf\dfrac{22}{7}$ × 1 × 2.1

$\longmapsto$ 22 × 1 × 0.3m

$\longmapsto$ 6.6m³

So -

now, we need to find the quantity of water that can be stored in the water tank, so for that, we will convert the volume of tank into the litres.

Converting into Litres -

1m³ = 1000ltrs

Quantity = 6.6m³ × 1000ltrs

Quantity = 6600ltrs

$\therefore$ 6600ltrs of water can be stored in the cylinder tank.

More formule of cylinder -

1. Curved surface area = 2πrh

2. Total surface area = 2πr(r + h)

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