Question

I have a big conical pile of mulch. I need to find the volume of this pile. The pile is 30 yards wide at the base. It is 10 yards tall. And 60 yards long at the bottom. This pile is not in the shape of a rectangle. It is conical in shape.

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Answer to a math question I have a big conical pile of mulch. I need to find the volume of this pile. The pile is 30 yards wide at the base. It is 10 yards tall. And 60 yards long at the bottom. This pile is not in the shape of a rectangle. It is conical in shape.

Expert avatar
Ali
4.4
90 Answers
Solution:
1. Given:
- The diameter of the base of the cone is 30 yards.
- The height of the cone is 10 yards.

2. Calculate the radius of the base:
\text{Radius} = \frac{\text{Diameter}}{2} = \frac{30}{2} = 15 \text{ yards}

3. Use the formula for the volume of a cone:
V = \frac{1}{3} \pi r^2 h

4. Substitute the given values into the volume formula:
V = \frac{1}{3} \pi (15)^2 (10)

5. Simplify and calculate the volume:
V = \frac{1}{3} \pi \times 225 \times 10
V = \frac{1}{3} \pi \times 2250
V = 750 \pi \text{ cubic yards}

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