B. The radius is the same as a cylinder with a volume of 500/3 and the same height.
The volume of a cone is given by the formula V = (1/3)πr^2h, 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 rearrange the formula to solve for the radius:
500 = (1/3)πr^2(5)
r^2 = 500 / ((1/3)π * 5)
r^2 = 100 / (π * 5)
r^2 = 100 / 15.71
r^2 ≈ 6.36
r ≈ √6.36
r ≈ 2.52 cm
Therefore, the radius of the cone is approximately 2.52 cm, which is equivalent to the radius of a cylinder with a volume of 500/3 and the same height.
If the height of the cone is 5 cm and the volume is 500 cm^3, what is the radius of the cone?
A. The radius is the same as a cylinder with the same volume and same height.
B. The radius is the same as a cylinder with a volume of 500/3 and the same height.
C. The radius is the same as a cylinder with the same volume and height of 3.
D. The radius is the same as a cylinder with a volume 500(3) and same height.
1 answer