Use this image to answer the question:
An illustration shows an inverted cone with its height measuring 20 feet, slant height measuring 24 feet, and diameter measuring 10 feet. The base is indicated with a dashed curve.
What is the volume of the given figure? Use 3.14 for pi and round to the nearest tenth.
Responses
2,093.3 cubic feet
628.0 cubic feet
523.3 cubic feet
2,512.0 cubic feet
To find the volume of the inverted cone, we can use the formula V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone.
Given that the diameter of the base is 10 feet, we can find the radius by dividing the diameter by 2: radius = 10/2 = 5 feet.
The height of the cone is given as 20 feet.
Now we can plug these values into the formula:
V = (1/3) × 3.14 × (5 feet)² × 20 feet
V = (1/3) × 3.14 × 25 feet² × 20 feet
V = (1/3) × 3.14 × 500 feet³
V ≈ 523.3 cubic feet
Therefore, the volume of the given figure is approximately 523.3 cubic feet.