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 . (1 point) 1,570 cubic inches 1,177.5 cubic inches 392.5 cubic inches 78.5 cubic inches
The volume (V) of a cone can be calculated using the following formula:
V = (1/3) * π * r^2 * h
where
r = radius of the base
h = height of the cone
π = Pi (approximated here as 3.14)
In this case, the radius r is 5 inches, and the height h is 15 inches. Plugging these values into the formula gives us:
V = (1/3) * 3.14 * (5^2) * 15
V = (1/3) * 3.14 * 25 * 15
First, calculate the squared radius (5^2) which is 25. Then multiply by Pi (3.14) and the height (15):
V = (1/3) * 3.14 * 25 * 15
V = (1/3) * 3.14 * 375
Now, multiply 3.14 by 375:
V = (1/3) * 1177.5
Finally, divide by 3 to get the volume:
V = 1177.5 / 3
V = 392.5 cubic inches
So the flower vase can hold 392.5 cubic inches of water.