Question
If the height of the cone is 5 cm and the volume is 500c * m ^ 4 * 3 what is the radius of the cone?
(1 point)
The radius is the same as a cylinder with a volume of 500/3 and the same height.
The radius is the same as a cylinder with a volume 500(3) and same height.
The radius is the same as a cylinder with the same volume and height of 3.
The radius is the same as a cylinder with the same volume and same height.
(1 point)
The radius is the same as a cylinder with a volume of 500/3 and the same height.
The radius is the same as a cylinder with a volume 500(3) and same height.
The radius is the same as a cylinder with the same volume and height of 3.
The radius is the same as a cylinder with the same volume and same height.
Answers
GPT 3.5
The volume of a cone is given by V = (1/3) * π * r^2 * h, where r is the radius and h is the height.
Given that the height of the cone is 5 cm and the volume is 500 cm^3, we can plug these values into the formula and solve for the radius:
500 = (1/3) * π * r^2 * 5
r^2 = (3 * 500)/(π * 5)
r^2 = 300/π
r = √(300/π)
Therefore, the radius of the cone is approximately equal to 9.73 cm.
Given that the height of the cone is 5 cm and the volume is 500 cm^3, we can plug these values into the formula and solve for the radius:
500 = (1/3) * π * r^2 * 5
r^2 = (3 * 500)/(π * 5)
r^2 = 300/π
r = √(300/π)
Therefore, the radius of the cone is approximately equal to 9.73 cm.