Question

Find the volume?

My teacher requires work being shown, if it is not to much of a hassle. Please show work!!! Thank you!!!!

Answer 1

Volume is `7749.26` `cm^3`

Explanation:

Although the figure is faded, it appears to be a cylinder whose radius is `10` `cms.` and height is `18` `cms.` and is topped by a hemisphere of the same radius i.e. `10` `cms.`

Formula for the volume of cylinder is `pixxr^2xxh`, where `r` is radius and `h` is its height. Hence the volume is

`pixx10^2xx18=1800pi`

Formula for the volume of sphere is `4/3xxpixxr^3`, but as we have a hemisphere, it should be `2/3xxpixxr^3` and volume of hemisphere is

`2/3xxpixx10^3=2000/3xxpi`

and volume of shown object is sum of these i.e.

`(1800+2000/3)xxpi=7400/3xx3.1416=7749.26` `cm^3`

Note : AS the figure is faded, in case dimensions are different, you can use above method to calculate the volume of the object.