A Spherical Lollipop Has a Circumference of 7 $\mathrm{cm}^{3}$ Per Minute $V=\frac{4}{3} \pi r^{3}$

question 98

Short Answer

A spherical lollipop has a circumference of 7.9 centimeters.A student decides to measure the rate of change of the volume of the lollipop, in $\mathrm{cm}^{3}$ per minute.The student licks the lollipop and measures the circumference every minute.The radius is decreasing at a rate of 0.18 cm/min.Determine the rate at which the volume is changing when the circumference is half of it's original size.[ $V=\frac{4}{3} \pi r^{3}$ ]