Question
If the height of the cone is 5 cm and the volume is 500 cm^3, what is the radius of the cone?
(1 point)
Responses
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 of 500/3 and the 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 height of 3.
The radius is the same as a cylinder with the same volume and same height.
The radius is the same as a cylinder with the same volume and 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 a volume 500(3) and same height.
Answers
GPT 3.5
To find the radius of the cone, we can use the formula for the volume of a cone, V = 1/3 π r^2 h, where V is the volume, r is the radius, and h is the height.
Given that the height is 5 cm and the volume is 500 cm^3, we can plug in these values to solve for the radius:
500 = 1/3 π r^2 (5)
500 = 5/3 π r^2
r^2 = 500*3/(5π)
r^2 = 300/π
r ≈ √(300/π) ≈ 6.14 cm
Therefore, the radius of the cone is approximately 6.14 cm.
Given that the height is 5 cm and the volume is 500 cm^3, we can plug in these values to solve for the radius:
500 = 1/3 π r^2 (5)
500 = 5/3 π r^2
r^2 = 500*3/(5π)
r^2 = 300/π
r ≈ √(300/π) ≈ 6.14 cm
Therefore, the radius of the cone is approximately 6.14 cm.
pick one of the above
GPT 3.5
The radius is the same as a cylinder with the same volume and same height.