The formula for the volume of a cone is V = (1/3) * π * r^2 * h, where V is the volume, π is a mathematical constant (approximately 3.14), r is the radius, and h is the height.
Given:
h = 20 yd
V = 3014.4
Substituting the given values into the formula and solving for r:
3014.4 = (1/3) * 3.14 * r^2 * 20
Dividing both sides of the equation by (1/3) * 3.14 * 20:
r^2 = 3014.4 / ((1/3) * 3.14 * 20)
Simplifying:
r^2 = 3014.4 / (10.467)
r^2 = 287.92
Taking the square root of both sides of the equation:
r = √287.92
r ≈ 16.97
Therefore, the approximate radius of the cone is 16.97 yards.
If the height of this cone is 20 yd and the volume is 3014.4 what is the radius?
Use 3.14 to solve
1 answer