Two wheels are connected via a conveyor belt. The larger wheel has a 36cm diameter and the smaller wheel has a 24cm diameter. In order for the conveyor belt to work smoothly, each wheel must rotate the exact same number of centimetres per minute. If the larger wheel makes r revolution per minute, how many revolutions does the smaller wheel make per hour in terms of r?	Options:
A) 1280π
B) 75r
C) 48r
D) 90r
E) (64π)/3
Interesting to note that the larger wheel has a diameter of 36 (6*6) while the smaller one has a diameter of 24 (6*4)...   If the large wheel has a diameter of 36 and the small wheel, 24, then their circumferences are 36pi and 24pi respectively. In order for them to move the conveyor belt at the same rate, the smaller wheel would need to rotate 1.5 times as fast as the larger wheel. Lets say the large wheel makes 10 revolutions per minute, the smaller wheel would need to make   10*1.5= 
<gadget id="calculator">  10*1.5</gadget>
<output>15</output>
15 revolutions per minute. If the large wheel makes 10 revolutions per minute it makes 600 per hour. Therefore, the smaller wheel would need to make   600*1.5= 
<gadget id="calculator">  600*1.5</gadget>
<output>900</output>
900 revolutions per hour.   If r= 10, then the answer choice must be d.   D. 90r
<result>D</result>
Two wheels are connected via a conveyor belt. The larger wheel has a 36cm diameter and the smaller wheel has a 24cm diameter. In order for the conveyor belt to work smoothly, each wheel must rotate the exact same number of centimetres per minute. If the larger wheel makes r revolution per minute, how many revolutions does the smaller wheel make per hour in terms of r?