find missing dimension cone, r=5in, v=487in3

To find the missing dimension of a cone, given the radius (r) and volume (V), you can use the formula for the volume of a cone: V = (1/3)πr²h, where V represents the volume, r represents the radius, and h represents the height.

In this case, you have the radius (r) as 5 inches and the volume (V) as 487 cubic inches. To find the missing dimension (height: h), you can rearrange the formula and solve for h.

1. Substitute the given values into the formula:
487 = (1/3)π(5²)h

2. Simplify the equation:
487 = (1/3)π(25)h

3. Multiply (1/3)π(25):
487 = (25/3)πh

4. Divide both sides of the equation by (25/3)π to isolate h:
h = 487 / ((25/3)π)

5. Use a calculator to evaluate the right side of the equation:
h ≈ 7.8

Therefore, the missing dimension (height) of the cone is approximately 7.8 inches.

I'd say it's h

487 = 25/3 pi h