Example Problems A cylinder has a base radius of 10 centimeters and a height of 20 centimeters. What is Its volume in cubic centimeters, to the nearest tenths place?

To find the volume of a cylinder, we can use the formula: \[ V = \pi r^2 h \] where: - \( V \) is the volume of the cylinder, - \( r \) is the radius of the base of the cylinder, and - \( h \) is the height of the cylinder. Given that the base radius of the cylinder is 10 centimeters and the height is 20 centimeters, we can substitute these values into the formula to find the volume. Substitute \( r = 10 \) cm and \( h = 20 \) cm into the formula: \[ V = \pi (10)^2 (20) \] Now, we can calculate the volume using the value of \( \pi \) as approximately 3.14159. Calculate the value by following steps: - step0: Calculate: \(\pi \times 10^{2}\times 20\) - step1: Multiply the terms: \(100\pi \times 20\) - step2: Multiply the terms: \(2000\pi \) The volume of the cylinder is approximately 6283.185307 cubic centimeters. Rounded to the nearest tenth, the volume is 6283.2 cubic centimeters.