A vase is the shape of a right circular cylinder has a diameter of 22 centimeters. A. What is the area, in square centimeters, of the base of the vase? Explain how you got your answer. B. The vase is partially filled with water to a depth of 10 centimeters. What is the volume, in cubic centimeters, of the water in the vase? Explain how you got your answer
A. The area of the base of a right circular cylinder is the same as the area of a circle, which is calculated using the formula A = πr^2. Since the diameter of the vase is 22 centimeters, the radius (r) is half of that, which is 11 centimeters. Plugging this value into the formula, we get A = π(11)^2 = 121π ≈ 380.13 square centimeters.
B. The volume of the water in the vase can be calculated using the formula V = πr^2h, where r is the radius of the base, and h is the height of the water. Since the height of the water is 10 centimeters and the radius is 11 centimeters, we can plug these values into the formula to get V = π(11)^2(10) = 1210π ≈ 3801.3 cubic centimeters.