Question

A person bought a water tank of a circular base having a radius of 1.05 meters and a height of 3.5 meters. If the upper part of the tank is spherical then how many liters of water can be contained in it?

Ans is 14379.75 liters how?

Answer 1

Answer:

Step-by-step explanation:

here water tank is made of a cylinder and a hemisphere

Volume = volume of cylinder + volume of hemisphere

V= π×r²×h + 2/3 ×π× r³

V=π×1.05²×3.5 + 2/3 ×π×1.05³

V=12.1164 m³ +2.4232  m³

Volume=14.5396 m³

We know that 1m³=1000liters

then 14.5396 m³=14.5396×1000 liters

volume= 14539.6 liters

Answer 2

Step-by-step explanation:

here ,

the cylinder height (h) = 3.5m

radius = 1.05m

Now,

volume(v) = πr^2h + 2/3πr^3

= πr^2(h +2/3 r)

=22/7(1.05)^2(3.5 + 2/3(1.05))

=3.465(3.5+0.7)

= 3.465x4.2

= 14.553m^3

so 1000liter = 1m^3

so, 14.553x1000 = 14553 liters of water can be contained in it