Answer:
59 inch
Explanation:
- Given the volume formula for a right cylinder:
Volume = π × r² × height
- Convert the height from feet to inches:
0.8 ft × 12 inches/foot = 9.6 inches
26146 = π × r² × 9.6
- Divide both sides of the equation by 9.6π:
r² = 26146 / (9.6π)
- To find the radius, take the square root of both sides:
r = √(26146 / (9.6π))
r ≈ √(26146 / (9.6 * 3.14159))
- Calculate the value inside the square root:
r ≈ √(26146 / 30.16963144)
- Now, find the square root of the division:
r ≈ √867.8825
- Evaluate the square root:
r ≈ 29.478
Hence, the radius of the stump is approximately 29.478 inches.
- To find the diameter, double the radius:
diameter ≈ 2 × 29.478 ≈ 58.956 inches.
Rounding to the nearest tenth, the stump's diameter is approximately 59.0 inches.