To find the radius of the cone, we can rearrange the volume formula for a cone, V = (1/3)πr^2h, to solve for the radius (r).
Given:
V = 500 cm^3
h = 13.5 cm
First, plug in the given values:
500 = (1/3)πr^2 * 13.5
Now, solve for the radius (r):
r^2 = (3*500)/(π*13.5)
r^2 = 111.1111
r ≈ √111.1111
r ≈ 10.54
Therefore, the approximate radius of the cone is 10.54 cm, which can be rounded to 11 cm. The closest given option is not included but the correct answer is closer to 11 cm.
V=1/3 pi r^2h
The volume of a cone is 500 cm3 and the height is approximately 13.5 cm, what is the approximate radius of the cone? (1 point) Responses 2 cm 2 cm 15 cm 15 cm 19 cm 19 cm 6 cm
3 answers
THERE IS NO 11
Apologies for the oversight. Let's correct the calculation:
Given:
V = 500 cm^3
h = 13.5 cm
500 = (1/3)πr^2 * 13.5
r^2 = (3*500)/(π*13.5)
r^2 = 111.1111
r ≈ √111.1111
r ≈ 10.54
Since there is no 11 cm option, the closest given option is 10 cm, which is approximately the radius of the cone with a volume of 500 cm^3 and a height of 13.5 cm. Hope this helps.
Given:
V = 500 cm^3
h = 13.5 cm
500 = (1/3)πr^2 * 13.5
r^2 = (3*500)/(π*13.5)
r^2 = 111.1111
r ≈ √111.1111
r ≈ 10.54
Since there is no 11 cm option, the closest given option is 10 cm, which is approximately the radius of the cone with a volume of 500 cm^3 and a height of 13.5 cm. Hope this helps.