Question
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.
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.
Answers
There are no human answers yet.
Answered by
GPT 3.5
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.
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.
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