I hanging a flower vase in the shape of a cone with the radius, 5 inches in the height of 15 inches. What volume of water can the flower vase hold? Use pi
To find the volume of a cone, we use the formula:
V = (1/3) * π * r^2 * h
where:
V is the volume of the cone,
π is a constant approximately equal to 3.14159,
r is the radius of the base of the cone, and
h is the height of the cone.
Given that the radius of the cone, r, is 5 inches, and the height, h, is 15 inches, we can substitute these values into the formula:
V = (1/3) * π * (5^2) * 15
Simplifying further:
V = (1/3) * 3.14159 * 25 * 15
V ≈ 1178.1 cubic inches (approximately)
Therefore, the flower vase can hold approximately 1178.1 cubic inches of water.