Homes cylinders and Spears unit test 12 CM 9 CM 11 cm what is the height of the right circular cone 5.5 CM 11 cm 9 cm 12 CM

Answer 1

To find the height of the right circular cone, we need to use the formula for the volume of a cone:

V = 1/3 * π * r^2 * h

Given that the radius (r) of the cone is half the diameter, we have:

r = 5.5 / 2 = 2.75 cm

We can rearrange the formula to solve for the height (h):

h = 3 * V / (π * r^2)

Now, let's calculate the volume (V) of the right circular cone:

V = 1/3 * π * r^2 * h
= 1/3 * π * (2.75^2) * 12
≈ 40.79 cm^3

Substituting the calculated values, we get:

h = 3 * (40.79) / (π * (2.75^2))
≈ 5.88 cm

Therefore, the height of the right circular cone is approximately 5.88 cm.