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 .
A. 1,177.5 cubic inches
B. 1,570 cubic inches
C. 78.5 cubic inches
D. 392.5 cubic inches
To find the volume of a cone, you can use the formula V = (1/3)πr^2h, where V represents the volume, π is a constant approximately equal to 3.14, r is the radius of the cone's base, and h is the height of the cone. Let's plug in the given values:
V = (1/3) * 3.14 * 5^2 * 15
First, calculate 5^2 which equals 25:
V = (1/3) * 3.14 * 25 * 15
Next, multiply 25 and 15 which equals 375:
V = (1/3) * 3.14 * 375
To compute (1/3) * 3.14, multiply 1/3 by 3.14 which equals approximately 1.0473 (rounded to four decimal places):
V ≈ 1.0473 * 375
Finally, multiply 1.0473 by 375, which gives us approximately 392.5125 (rounded to four decimal places):
V ≈ 392.5125
So, the volume of water that the flower vase can hold is approximately 392.5125 cubic inches.
Among the given choices, the closest option is D. 392.5 cubic inches.