A) A cylinder has a height of 11 centimeters and a diameter of 38 centimeters. What is its volume? Use \( \pi \approx 3.14 \) and round your answer to the nearest hundredth. Submit centimeters Subic

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 cylinder, - \( h \) is the height of the cylinder. Given: - Height of the cylinder, \( h = 11 \) centimeters, - Diameter of the cylinder, \( d = 38 \) centimeters. First, we need to find the radius of the cylinder. The radius is half of the diameter: \[ r = \frac{d}{2} = \frac{38}{2} = 19 \text{ centimeters} \] Now, we can substitute the values into the formula to find the volume: \[ V = \pi r^2 h = 3.14 \times 19^2 \times 11 \] Let's calculate the volume. Calculate the value by following steps: - step0: Calculate: \(3.14\times 19^{2}\times 11\) - step1: Multiply the terms: \(34.54\times 19^{2}\) - step2: Rewrite the expression: \(34.54\times 361\) - step3: Multiply the numbers: \(12468.94\) The volume of the cylinder is approximately 12468.94 cubic centimeters. Rounding to the nearest hundredth, the volume is 12468.94 cubic centimeters.