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

Step-by-step explanation:

given

h=10m

base are is circumference =154m^2

solution:-

$circumference = \pi d$

$154 = \frac{22}{7} \times d$

$\frac{154 \times 7}{22} = d$

$\frac{1078}{22} = d$

$49 = d$

Therefore diameter = 49m

$volume \: of \: cylinder \: = \pi {r}^{2}h$

$volume = \frac{22}{7} \times \frac{49}{2} \times \frac{49}{2} \times 10$

$volume = 11 \times 7 \times 49 \times 5$

$volume = 18,865 {m}^{3}$

Now volume in litres is

${1m}^{3} = 1000 \: litres$

${18865m}^{3} = x$

$x \: = 18865 \times 1000$

$x \: = 18865000 \: litres$

Answer 2

Answer:

The Diameter of Cylinderical Tank = 49m

The Capacity of Tank = 1,88,65,000 litres

Step-by-step explanation:

Given,

• TheHeight of Cylinderical Tank = 10m
• The Area of Base of Cylinderical Tank = 154m²

To Find,

• The Diameter of Cylinderical Tank.
• The Capacity of Cylinderical Tank.

Solution,

The Area of Base of Cylinderical Tank

= 154m²

→ 2 × π × Radius = 154m²

→ 2 × 22/7 × Radius = 154m²

→ 44/7 × Radius = 154m²

→ Radius = 154m² × 7/44

→ Radius of Cylinderical Tank = 24.5m

Diameter = Radius × 2

→ Diameter = 24.5m × 2

→ Diameter of Cylinderical Tank = 49m

The Volume of Cylinderical Tank = π × R² × H

→ The Volume of Cylinderical Tank

= 22/7 × (24.5m)² × 10m

→ The Volume of Cylinderical Tank

= 22/7 × 600.25m² × 10m

→ The Volume of Cylinderical Tank

= 18865m³

The Capacity of Tank = 18865m³

[ 1m³ = 1000 litres]

The Capacity of Tank = 1,88,65,000 litres

Required Answer,

The Capacity of Tank = 1,88,65,000 litres

The Diameter of Cylinderical Tank = 49m