Question

A cylinder shaped container has a radius of 20 meters and a height of 100 meters. A glass sphere with a radius of 12 meters is placed inside the cylinder shaped container and then the container is completely filled with water. What is the approximate volume of water contained in the cylinder? Use 3.14 for pi. 24,165 m³ 31,400 m³ 118,365 m³ 125,600 m³

Answer 1

The correct answer is 118,365, I just took the test in GCA.

Answer 2

The approximate volume of water contained in the cylinder is
`118,365\ m^(3)`

Explanation:

we know that

To find the volume of water subtract the volume of the sphere from the volume of the cylinder

step 1

Find the volume of the cylinder

`V=\pi r^(2) h`

substitute the values

`V=(3.14)(20^(2))(100)=125,600\ m^(3)`

step 2

Find the volume of the sphere

`V=(4)/(3)\pi r^(3)`

substitute the values

`V=(4)/(3)(3.14)(12^(3))=7,234.56\ m^(3)`

step 3

Find the volume of water

`125,600\ m^(3)-7,234.56\ m^(3)=118,365.44\ m^(3)`