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
To calculate the volume of a cone, we use the formula V = (1/3)πr^2h, where r is the radius and h is the height.
For the first cone with a radius of 13 feet and a height of 30 feet:
V1 = (1/3) * 3.14 * 13^2 * 30
V1 = (1/3) * 3.14 * 169 * 30
V1 = (1/3) * 3.14 * 5070
V1 = 5307.2 cubic feet
For the second cone with a radius of 10 feet and a height of 30 feet:
V2 = (1/3) * 3.14 * 10^2 * 30
V2 = (1/3) * 3.14 * 100 * 30
V2 = (1/3) * 3.14 * 3000
V2 = 3140 cubic feet
To find out how much bigger the volume of the first cone is compared to the second cone, we subtract the smaller volume from the larger volume:
5307.2 - 3140 = 2167.2
The volume of the cone with a radius of 13 feet and a height of 30 feet is 2167.2 cubic feet bigger than the volume of the cone with a radius of 10 feet and a height of 30 feet.