Answer to Question #87164 in Geometry for Sierra Gohal

Question

A circular pool has a radius of 4 m and a height of 2.5 m.The pool is filled up to 3/4 of its capacity.Calculate the number of litres of water that are in the pool.

Answer 1

Given that the pool has a cylindrical shape, we will find the full volume of the pool using the formula

$$V=\pi*R^2*H$$

where R is cylinder radius; H is cylinder height. According to the condition of the problem R=4m and H=2.5m. Therefore

$$V=\pi*4^2*2.5=125.6637m^3$$

The pool is filled up to 3/4 of its capacity. Hence 

$$V'=3/4*V=94.2478m^3$$

Convert the resulting volume to the liters get

$$V'=94247.8 literes$$

Answer. 94247.8literes