Question

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

Answer 1

Answer: $1,179\pi\ in^3$

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:

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

Answer 2

Answer: B. 1,179π in3

Step-by-step explanation: Took the test