Volume = r2h Surface Area = 2r2 + 2rh
A cylinder has a radius of 2 feet and a height of 18 feet.
Volume (to the nearest tenth) = cubic feet.
Surface area (to the nearest tenth) = square feet.
Answers: volume of cylinder = 226.2 ft³ surface area of cylinder = 251.3 ft²
Explanation: Part I: getting the volume: The correct rule to get the volume of the cylinder is as follows: volume = πr²h where: π is a constant r is the radius of the cylinder = 2 ft h is the height of the cylinder = 18 ft Substitute with the givens in the above equation to get the volume as follows: volume = πr²h volume = π * (2)² * 18 volume = 72π ft³ which is approximately 226.2 ft³
Part (2): getting the surface area: The correct rule to get the surface area of the cylinder is as follows: surface area = 2πr² + 2πrh where: π is a constant r is the radius of the cylinder = 2 ft h is the height of the cylinder = 8 ft Substitute with the givens in the above equation to get the surface area as follows: surface area = 2πr² + 2πrh surface area = 2π(2)² + 2π(2)(18) surface area = 8π + 72π surface area = 80π which is approximately 251.3 ft²
