Question

A swimming pool of length = 35 m, breadth = 25 m and
height = 2.5 m is three fourths full of water. Find the
volume of water in the pool.​

Answer 1

Answer:

1,640.625 m³

Step-by-step explanation:

Pool is in shape of a cuboid. Volume of cuboid = length * breadth * height.

Volume of pool is:

   35 * 25 * 2.5  m³  = 2187.5 m³

Given,

  Only 3/4 th part of the pool is filled with water.

3/4 * volume of pool = volume of water

3/4 * 2187.5 m³ = volume of water

1,640.625 m³ = volume of water

Answer 2

_______________________

$\sf{\underline{\boxed{\large{\blue{\mathsf{Solution}}}}}}$

$\sf{\bold{\green{\underline{\underline{Given}}}}}$

• length of pool = 35 m
• breadth = 25 m
• height = 2.5 m
• volume of water = 3/4 volume of tank

_______________________

$\sf{\bold{\green{\underline{\underline{To\:Find}}}}}$

• find the volume of pool = ??
• find the volume of water in pool = ??

______________________

$\sf{\bold{\green{\underline{\underline{Solution}}}}}$

$\sf{\red{\boxed{\bold{volume = length \times breadth \times height}}}}$

$\sf{\bold{ Volume = \: 35 \times 25\times 2.5}}$

$\sf{\bold{Volume = \: 2187.5 m^3 }}$

$\sf{\pink{\boxed{\bold{\dag volume\: of \: tank \: = 2187.5 m^3 \: }}}}$

• volume of water is 3/4 the volume of tank

$\sf{\bold{ volume \: of \: water = \dfrac{3}{4}\times 2187.5 m^3 }}$

$\sf{\bold{volume \: of \: water = 3 \times 546.875 m^3 }}$

$\sf{\bold{volume\: of \: water = 1640.625m^3 }}$

$\sf{\red{\boxed{\bold{ 1m^3 = 1000 liters }}}}$

$\sf{\bold{volume\: of \: water = 1640.625 \times 1000 liters }}$

$\sf{\bold{volume\: of \: water = 1640625liters }}$

$\sf{\pink{\boxed{\bold{\dag volume \: of \: water = \: 1640625\: liters}}}}$

______________________

$\sf{\bold{\green{\underline{\underline{Answer}}}}}$

• volume of tank is 2187.5 $\sf\bold m^3$
• volume of water present in the tank is 1640625 liters .