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 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

Explanation:

Step1: Calculate the radius

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

Step2: Find circumference of the sphere

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

Step3: Compute total travel distance

Fly goes 4.5 times around, so total distance $D = 4.5 \times C$.
$D = 4.5 \times 14\pi = 63\pi \approx 63 \times 3.1416 = 197.9208$ cm.

Step4: Round to nearest tenth

Round 197.9208 to 1 decimal place.

Answer:

197.9 cm