Question

1. In a chemical factory one cylindrical container of radius
21m, containing a measuring
cylinder Filled with water up to 9m, its original
Height is 10m. to cool a spherical metallic ball of
radius 7m deep into measuring cylinder of radius
14 m. Some water over flow and fall into the
Cylindrical Container. Find
Question 1: How much water overflowed in the cylindrical container?​

Answer 1

Answer:

462 m^3

Step-by-step explanation:

The measuring cylinder is of radius 14 m and height 10 m, but the water is filled to height 9 m.

The volume of the measuring cylinder is given as;

$V= \pi *r^2*h\\V=\frac{22}{7}*14^2*10\\\\V=6160m^3$

The volume of the water in the measuring cylinder is:

$V= \pi *r^2*h\\V=\frac{22}{7}*14^2*9\\\\V=5544m^3$

The volume of the measuring cylinder that is empty is

6160-5544= 616 m^3

The volume the spherical metallic ball of  radius 7m is given as;

$V=\frac{4}{3}*\pi *r^3\\\\V=\frac{4}{3} *\frac{22}{7} *7^3\\\\V=1078m^3$

This is the volume of the displaced water.

616m^3 of this fills up the remaining part of the measuring cylinder and the excess overflows.

Therefore the volume of the water that overflowed is;

V= 1078 - 616 = 462 m^3