A cylinder has a base radius of 6 centimeters and a height of 20 centimeters. What is its volume in cubic centimeters, to the nearest tenths place?
The volume of a cylinder is given by the formula V = πr^2h, where r is the radius and h is the height of the cylinder.
Given that the base radius is 6 cm and the height is 20 cm, we can plug these values into the formula to find the volume:
V = π(6)^2(20)
V = π(36)(20)
V = 720π
To find the volume in cubic centimeters, we can use the approximation π ≈ 3.14:
V ≈ 720(3.14)
V ≈ 2260.8
Therefore, the volume of the cylinder is approximately 2260.8 cubic centimeters when rounded to the nearest tenths place.