Question

A hemispherical tank full of water is emptied by a pipe at the rate of $\frac{25}{7}$ litres per second. How much time will it take to half-empty the tank, If the tank is 3 metres in diameter?

Answer 1

Answer:

Time taken to half empty the tank is 16.5 minutes.

Step-by-step explanation:

SOLUTION :  

Given :  

Diameter of a hemispherical tank = 3 cm

Radius of a hemispherical tank ,r = 3/2 cm

Volume of water in hemispherical tank,V  = 2/3πr³

V = ⅔ × 22/7 × (3/2)³

V = ⅔ × 22/7 × 27/8

V = (11 × 9 )/14 = 99/14  

V = 99/14 m³

Volume of water in half hemispherical tank = ½ × 99/14 m³ = 98/28 m³

Capacity of water in half hemispherical tank = 98/28  × 1000 litre = 99000/28 litres

[1m³ = 1000 l ]  

Capacity of water in half hemispherical tank =  9900/28 litres

Rate of water emptied by a  pipe = 25/7 litre/sec

Time taken to half empty the tank =(99000/28) / (25/7)

= 99000/28  × 7/ 25 = 3960/4 = 990 sec

Time taken to half empty the tank = 990 sec  = 990 / 60 = 16.5 minutes

[1 sec = 1/60 minutes]

Hence, the Time taken to half empty the tank is 16.5 minutes.

HOPE THIS ANSWER WILL HELP YOU….

Answer 2

The answer is provided in the attachment.

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