Question

A cylindrical tank of diameter 3 m and height 7 m is completely filled with groundnut oil. It is to be emptied in 15 tins each of capacity 15 litres. Find the number of such tins required.

Answer 1

Given :

Diameter of cylindrical tank= 3m

Radius of cylindrical tank = 3/2 m

Height of cylindrical tank = 7 m

Volume of groundnut oil in the cylindrical tank = πr²h

Volume of groundnut oil in the cylindrical tank =(22/7)× 3/2 × 3/2 × 7

= 11 × 9/2 = 99/2

Volume of groundnut oil in the cylindrical tank= 99/2 m³ = 99/2 × 1000 = 99 × 500 = 49500 litres.

Volume of groundnut oil in the cylindrical tank= 49500 litres.

[ 1m³ = 1000 litres]

Number of tins filled with 15 l of oil = 1

Number of tins filled with 49500 litres

of oil = 49500 /15 = 3300

Hence , 3300 tins are required to hold the oil.

HOPE THIS ANSWER WILL HELP YOU...

Answer 2

Given Diameter of the cylindrical tank d= 3 m.

Then, the radius of the cylindrical r = 1.5 m.

Given height of cylindrical tank h = 7 m.

We know that volume of the cylindrical tank = $\pi r^2h$

$= > \frac{22}{7} * (1.5)^2 * 7$

= > 49.5m^3

= > 49.5 * 1000

= > 49500 litres.

Now,

Given it is emptied in 15 tins teach of capacity 15 litres.

Number of such tins required = 49500/15

= > 3300.

Hope this helps!