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Question
a fly buzzes four and a half times around kit yans head. the fly ends up on the opposite side from where it started. if the diameter of his head is 14 cm, what is the total distance the fly travels? assume kit yans head is a sphere, which has a circumference of 2π*(radius)
if you answer is not an integer, round it to the nearest tenths place (1st decimal place).
______ cm
billy drops a ball from a height of 1 m. the ball bounces back to a height of 1.1 m, then bounces again to a height of 0.8 m, and bounces once more to a height of 0.3 m, but in the downward direction. what is the total distance traveled by the ball?
Step1: Calculate the radius
The diameter is 14 cm, so radius $r = \frac{14}{2} = 7$ cm.
Step2: Find the circumference
Circumference formula: $C = 2\pi r$. Substitute $r=7$:
$C = 2\pi \times 7 = 14\pi$ cm.
Step3: Compute total distance
Fly travels 4.5 times the circumference:
$Total = 4.5 \times 14\pi = 63\pi$
Calculate numerical value: $63 \times 3.1416 \approx 197.9$ cm.
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197.9 cm