A cone of radius 8 yards and the height is labeled blank yards. There is a right angle symbol between the lines for the radius and height. The base is shaded.
This cone has a volume of 803.84 yd.3 . Find the height of the cone. Let π=3.14 .
(1 point)
yd.3
To find the height of the cone, we can use the formula for the volume of a cone:
V = (1/3)πr^2h
We are given that the radius (r) is 8 yards and the volume (V) is 803.84 yd.3. Plugging in these values, we get:
803.84 = (1/3)(3.14)(8^2)h
Simplifying:
803.84 = 67.02h
Dividing both sides by 67.02:
h = 803.84 / 67.02
h ≈ 12
Therefore, the height of the cone is approximately 12 yards.