Find the volume?

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

1 Answer
Mar 3, 2017

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.