How much bigger is a volume of a cone with a radius of 13 feet and a height of 21 feet than a cone with a radius of 7 feet and a height of 21 feet?
First, we need to calculate the volume of each cone using the formula V = (1/3)πr^2h, where r is the radius and h is the height.
For the cone with a radius of 13 feet and height of 21 feet:
V1 = (1/3)π(13^2)(21) ≈ 929.5 cubic feet
For the cone with a radius of 7 feet and height of 21 feet:
V2 = (1/3)π(7^2)(21) ≈ 538.5 cubic feet
To find the difference in volume between the two cones, we subtract V2 from V1:
Difference = V1 - V2
Difference = 929.5 - 538.5
Difference ≈ 391 cubic feet
Therefore, the cone with a radius of 13 feet and a height of 21 feet is approximately 391 cubic feet bigger than the cone with a radius of 7 feet and a height of 21 feet.