How much bigger is a the volume of a cone with radius of
13
13 feet and a height of
30
30 feet than a cone with radius of
10
10 feet and a height of
30
30 feet? Use 3.14 for π. Click Here for Help Video
The difference in the volumes of the cones is
cubic feet.
The volume of a cone is calculated using the formula V = (1/3)πr^2h
For the cone with a radius of 13 feet and a height of 30 feet:
V1 = (1/3)π(13^2)(30)
V1 = (1/3)π(169)(30)
V1 = (1/3)(3.14)(5070)
V1 = 5306 cubic feet
For the cone with a radius of 10 feet and a height of 30 feet:
V2 = (1/3)π(10^2)(30)
V2 = (1/3)π(100)(30)
V2 = (1/3)(3.14)(3000)
V2 = 3140 cubic feet
The difference in volumes is:
5306 - 3140 = 2166 cubic feet
Therefore, the volume of the cone with a radius of 13 feet and a height of 30 feet is 2166 cubic feet larger than the volume of the cone with a radius of 10 feet and a height of 30 feet.