A hanging flower vase is in the shape of a cone with a radius of 5 inches and a height of 15 inches. What volume of water can the flower vase hold? Use 3.14 for π.
1. 78.5 cubic inches
2. 392.5 cubic inches
3. 1,570 cubic inches
4. 1,177.5 cubic inches
To find the volume of the cone-shaped flower vase, we can use the formula: V = (1/3) π r^2 h.
Given that the radius, r, is 5 inches and the height, h, is 15 inches, we can substitute these values into the formula to find the volume:
V = (1/3) * 3.14 * 5^2 * 15
V = (1/3) * 3.14 * 25 * 15
V = (1/3) * 3.14 * 375
V = 1.047 * 375
V = 392.5 cubic inches
Therefore, the flower vase can hold 392.5 cubic inches of water.
The correct answer is option 2. 392.5 cubic inches.