Mathematics: A cylinder has 18 inch diameter and is 15 inches tall it is filled to the top with water a 6 inch diameter ball is in place within the cylinder and then cylinder is filled with water how much water is in the similar give your answer in terms of pie

A cylinder has 18 inch diameter and is 15 inches

gennhill14

21.01.2022

$1,179\pi\ in^3$

Step-by-step explanation:

The volume of a cylinder can be calculated with the following formula:

$V=\pi r^2h$

Where "r" is the radius and "h" is the height.

The volume of a sphere can be found with this formula:

$V=\frac{4}{3}\pi r^3$

Where "r" is the radius.

Then, volume of the empty cylinder is:

$V_c=\pi (\frac{18\ in}{2})^2(15\ in)\\\\V_c=1,215\pi \ in^3$

And the volume of the ball is:

$V_b=\frac{4}{3}\pi (\frac{6\ in}{2})^3\\\\V_b=36\pi \ in^3$

Finally, you need to subtract them in order to calculate how much water is in the cylinder:

$1,215\pi \ in^3-36\pi \ in^3=1,179\pi\ in^3$

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