Question

a fly buzzes four and a half times around kit yan’s 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 yan’s 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 your answer

Explanation:

Step1: Calculate the radius

The diameter is 14 cm, so radius $r = \frac{14}{2} = 7$ cm.

Step2: Find the circumference

Use the circumference formula $C = 2\pi r$.
$C = 2\pi \times 7 = 14\pi$ cm.

Step3: Calculate total travel distance

The fly travels 4.5 times the circumference.
Total distance $= 4.5 \times 14\pi = 63\pi$ cm.

Step4: Compute decimal value, round to tenths

$63\pi \approx 63 \times 3.1416 \approx 197.9$ cm.

Answer:

197.9 cm