The formula for the volume of a cone is V = (1/3)πr^2h, where 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 the values into the formula:
500 = (1/3)πr^2(5)
1500 = πr^2(5)
1500 = 5πr^2
r^2 = 300/π
r = √(300/π)
r ≈ 9.23 cm
Therefore, the radius of the cone is approximately 9.23 cm.
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 500(3) 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 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 of 500/3 and the same height.
3 answers
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)
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.
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.
The radius is the same as a cylinder with a volume of 500/3 and the same height.
The correct statement is: The radius is the same as a cylinder with the same volume and same height.
To find the radius of the cone, we can use the formula for the volume of a cone, V = (1/3)πr^2h, 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 have:
500 = (1/3)πr^2(5)
1500 = 5πr^2
r^2 = 300/π
r = √(300/π)
r ≈ 9.23 cm
Therefore, the radius of the cone is approximately 9.23 cm, which is the same as the radius of a cylinder with the same volume (500 cm^3) and the same height (5 cm).
To find the radius of the cone, we can use the formula for the volume of a cone, V = (1/3)πr^2h, 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 have:
500 = (1/3)πr^2(5)
1500 = 5πr^2
r^2 = 300/π
r = √(300/π)
r ≈ 9.23 cm
Therefore, the radius of the cone is approximately 9.23 cm, which is the same as the radius of a cylinder with the same volume (500 cm^3) and the same height (5 cm).