Find the volume of the figure. Express the answer in terms of $\pi$ and then round to the nearest whole number.
The volume of the figure is exactly
(Type an exact answer in terms of $\pi$.)
The volume of the figure is approximately
(Round to the nearest whole number as needed.)

Step 1 ：The figure is composed of a cylinder and a cone, both with the same radius and height. We can calculate the volume of each separately and then add them together to get the total volume.

Step 2 ：The volume of a cylinder is given by the formula \(V_{cylinder} = \pi r^2 h\), where \(r\) is the radius and \(h\) is the height. In this case, both the radius and the height are 10, so the volume of the cylinder is \(V_{cylinder} = \pi (10)^2 (10) = 1000\pi\).

Step 3 ：The volume of a cone is given by the formula \(V_{cone} = \frac{1}{3} \pi r^2 h\), where \(r\) is the radius and \(h\) is the height. In this case, both the radius and the height are 10, so the volume of the cone is \(V_{cone} = \frac{1}{3} \pi (10)^2 (10) = \frac{1000}{3}\pi\).

Step 4 ：The total volume of the figure is the sum of the volumes of the cylinder and the cone, which is \(V_{total} = V_{cylinder} + V_{cone} = 1000\pi + \frac{1000}{3}\pi = \frac{4000}{3}\pi\).

Step 5 ：The exact volume of the figure in terms of \(\pi\) is \(\boxed{\frac{4000}{3}\pi}\).

Step 6 ：To find the approximate volume, we can multiply the exact volume by the approximate value of \(\pi\), which is 3.14. This gives us an approximate volume of \(V_{approx} = \frac{4000}{3} * 3.14 = 4188.79\).

Step 7 ：Rounding to the nearest whole number, the approximate volume of the figure is \(\boxed{4189}\).