maya wants to decide in which type of waffle cone her store should stock. if she wants her large cones to have a volume of 14.13 cubic inches and a diameter of 3 inches, what should the height of the cone be in inches? for the calculation, approximate pi to 3.14

Answer 1

To find the height of the cone, we can use the formula for the volume of a cone:

Volume = (1/3) * π * r^2 * h

Given:
- Diameter of the cone = 3 inches
- Radius (r) = Diameter / 2 = 3 / 2 = 1.5 inches
- Volume (V) = 14.13 cubic inches
- Approximate value of π = 3.14

Substituting the values into the formula:

14.13 = (1/3) * 3.14 * 1.5^2 * h

Simplifying the equation:

14.13 = (1/3) * 3.14 * 2.25 * h
14.13 = 2.36 * h

Dividing both sides by 2.36:

h = 14.13 / 2.36
h ≈ 5.99 inches

Therefore, the height of the cone should be approximately 5.99 inches.