Answer:
C. 12,600
Step-by-step explanation:
You can try a rough approximation by finding the volume of the room, finding the volume of one basketball, an dividing the first volume by the second one. This method will give a large estimate since there will be empty space between the balls.
volume of room:
V = L * W * H = 15 * 20 * 10 ft^3 = 3,000 ft^3
volume of one ball:
circumference = 29 in.
From the circumference we find the radius.
circumference = 2(pi)r
2(pi)r = 29 in.
r = (29 in.)/(2pi) = 4.61549 in.
Now we convert inches to feet.
4.61549 in. = 4.61549/12 ft = 0.384624 ft
Now we use the radius of a ball in ft to find the volume of a ball in cubic feet.
V = (4/3)(pi)r^3 = (4/3)(3.14159)(0.384624 ft)^3 = 0.23834 ft^3
Now we divide the volume of the room by the volume of a ball.
number of balls = (3,000 ft^3)/(0.23834 ft^3) = 12,587
The closest answer is C. 12,600
