Question

Suppose a can of paint has a diameter of 14 cm and a height of 16 cm. What is the volume of paint in the can? (to nearest whole number) A) 576 cm3 B) 1232 cm3 C) 2463 cm3 D) 2852 cm3

Answer 1

Hello! Cans are in the shape of a cylinder. The formula for the volume of a cylinder is πr²h, where r = radius and h = height. Radius is ½ of the diameter. 14 cm is the diameter and ½ of 14 is 7. 7² is 49. Pi is a decimal that repeats forever, and we can put this on a calculator. 49 * π is 153.93804026, The height is 16 cm. We can multiply that long decimal by 16 to get 2,463.00864041 or 2,463 when rounded to the nearest whole number. There. The volume of paint in the can is about 2,463cm³. The answer is C.