Answer:
157,143 mm/s
Step-by-step explanation:
Formula for the volume of a sphere is;
V = 4/3 * pi * r^3
dv/dr = 4 pi r^2
dv/dt = dv/dr * dr/dt
dr/dt = 5 mm/s
dr/dt = 4 * pi * r^2
r = d/2 = 100/2 = 50 mm
dr/dt = 4 * 22/7 * 50^2 = 220,000/7
dv/dr = 220,000/7 * 5 = 157,142.8571428571
Approximately 157,143 mm/s
