Finding the volume, in cubic inches, of a cone with a radius of 13 in. And height of 27 in. Round your answer to the nearest hundredth. Use 3.14 for pi. Why is the answer 4775.94 and NOT 4778.14
To calculate the volume of a cone, you need to use the formula V = (1/3) * π * r² * h, where V represents the volume, π represents pi, r represents the radius, and h represents the height.
Given:
- Radius (r) = 13 in.
- Height (h) = 27 in.
- π (pi) = 3.14
Substituting these values into the formula, we get:
V = (1/3) * 3.14 * (13²) * 27
Now, let's calculate the volume:
V = (1/3) * 3.14 * (169) * 27
V = (1/3) * 3.14 * 4563
V ≈ 4775.94
The answer is 4775.94 and not 4778.14 because, when rounding to the nearest hundredth, the digit in the thousandth place (5 in this case) is rounded down to the nearest hundredth (4).