What is the value of x, if the volume of the cone is 12symbol pim3?
A cone with height x, diameter 6m and side 5m.
(1 point)
Responses
4 m
4 m
5 m
5 m
6 m
6 m
10 m
To find the value of x, we need to use the formula for the volume of a cone, which is given by:
V = 1/3 * π * r^2 * h
where V is the volume, π is pi, r is the radius, and h is the height.
In this case, we are given the diameter of the cone, which is 6m. The radius is half the diameter, so the radius is 6m/2 = 3m. The side length given is not necessary for finding the volume of the cone.
Substituting the given values into the formula, we have:
12π = 1/3 * π * (3m)^2 * x
Simplifying, we have:
12π = 1/3 * π * 9m^2 * x
12π = 3π * 3m^2 * x
Dividing both sides by 3π and canceling out π, we get:
4 = 3m^2 * x
Dividing both sides by 3m^2, we have:
4/(3m^2) = x
Therefore, the value of x is 4/(3m^2).