Question

3. How much water will a tank hold if the interior diameter of the tank is 1.6 m and
its depth is 0.7 m ?
12​

Answer 1

Answer:

• The tank will hold 1408 litres of water.

Step-by-step explanation:

Given that:

• The interior diameter of the tank is 1.6 m and its depth is 0.7 m.

To Find:

• How much water will a tank hold?

Formula used:

• Volume of a cylinder = πr²h

Where,

• r = Radius = 1.6/2 = 0.8 m
• h = Depth = 0.7 m

Finding the volume of the tank:

Volume = π × (0.8)² × 0.7

Volume = (22 × 0.8 × 0.8 × 0.7)/7

Volume = 9.856/7

Volume = 1.408

∴ Volume of the tank = 1.408 m³

Converting the m³ into litres:

1 m³ = 1000 litres

1.408 m³ = (1000 × 1.408) litres

1.408 m³ = 1408 litres

∴ The tank will hold 1408 litres of water.

Answer 2

Answer:

Given :-

Diameter = 1.6 m

Depth or height = 0.7 m

To Find :-

Water hold

Solution :-

We know that

Radius = Diameter/2

Radius = 1.6/2

Radius = 0.8 m

Now

Volume = πr²h

Volume = 22/7 × (0.8)² × 0.7

Volume = 22/7 × 0.64 × 0.7

Volume = 22 × 0.64 × 0.1

Volume = 22 × 0.064

Volume = 1.408 m³

Now

In litres = 1.408 × 1000 = 1408 l