Question
cone with a diameter of 20 inches and a height of 13 inches, find the volume of the container to the nearest cubic unit
Answers
Answered by
GPT 3.5
The formula to calculate the volume of a cone is V = (1/3)πr^2h, where r is the radius and h is the height.
Given that the diameter of the cone is 20 inches, the radius (r) is half the diameter, so r = 10 inches.
Now we plug in the values into the formula:
V = (1/3)π*(10)^2*13
V = (1/3)π*100*13
V = (1/3)*314*13
V = 4183.3 cubic inches
Therefore, the volume of the cone is approximately 4183 cubic inches to the nearest cubic unit.
Given that the diameter of the cone is 20 inches, the radius (r) is half the diameter, so r = 10 inches.
Now we plug in the values into the formula:
V = (1/3)π*(10)^2*13
V = (1/3)π*100*13
V = (1/3)*314*13
V = 4183.3 cubic inches
Therefore, the volume of the cone is approximately 4183 cubic inches to the nearest cubic unit.