To find the diameter of a cone, we need to use the formula for the volume of a cone:
Volume = (1/3) * pi * r^2 * h
where r is the radius of the cone's base and h is the height. We are given that the volume is 150pi m^3 and the height is 8 m.
Using the formula, we can rearrange it to solve for r:
r^2 = (3 * Volume) / (pi * h)
r^2 = (3 * 150pi) / (pi * 8)
r^2 = 450 / 8
r^2 = 56.25
r ≈ 7.5 m
The diameter is twice the radius, so the diameter of the cone is:
Diameter = 2 * r
Diameter = 2 * 7.5
Diameter = 15 m
Therefore, the diameter of the cone is 15 m.
What is the diameter of a cone with height 8 m and volume 150symbol pim3 ?
(1 point)
Responses
7.5 m
7.5 m
5 Start Root 3 End Root m
Image with alt text: 5 Start Root 3 End Root m
7.5 Start Root 3 End Root m
Image with alt text: 7.5 Start Root 3 End Root m
15 m
1 answer
1 answer