How much bigger is a the volume of a cone with radius of
14
14 feet and a height of
15
15 feet than a cone with radius of
9
9 feet and a height of
15
15 feet?
To find 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 larger cone with radius 14 feet and height 15 feet:
V1 = (1/3)π(14)^2(15) = 98π cubic feet
For the smaller cone with radius 9 feet and height 15 feet:
V2 = (1/3)π(9)^2(15) = 405π/3 = 135π cubic feet
Therefore, the difference in volume between the two cones is:
V1 - V2 = 98π - 135π = -37π cubic feet
Since the result is negative, this means that the smaller cone actually has a larger volume than the larger cone. The volume of the smaller cone with radius 9 feet and height 15 feet is 37π cubic feet larger than the volume of the larger cone with radius 14 feet and height 15 feet.