calculus
posted by Tyler Stranburg .
A snowball has a radius of 3 inches. Assume the rate with which the volume of the snowball melts is proportional to its surface area. If, after 1 hour, the radius of the snowball is 2.9 inches, predict what the radius will be after one day.

dv/dt = k (4 pi r^2) given
v = (4/3) pi r^3 geometry
dv/dr = 4 pi r^2
dv/dt = dv/dr dr/dt = 4 pi r^2 dr/dt
so
k is dr/dt which is constant
dr/dt = (2.9  3)/1 = 0.1 in/hr
starts at 3 in
r = 3  .1(24) = 32.4 = 0.6 inches 
can you solve it with separation of differential equation
Respond to this Question
Similar Questions

MATH: Functions
The radius, r, in centimeters, of a melting snowball is given by r=502.5t, where t is time in hours. the snowball is spherical, with volume V=4/3(pi)r^3 cm^3. Find a formula for V=f(t), the volume of the snowball as a function of … 
calculus
Melting Snowball: A spherical snowball melts at a rate proportional to its surface area. Show that the rate of change of the radius is constant. (Hint: Surface Area =4(pi)r^2) 
Calculus
A certain calculus student hit Mrs. Evans in the head with a snowball. If the snowball is melting at the rate of 10 cubic feet per minute, at what rate is the radius of the snowball changing when the snowball is 1 foot in radius? 
Calculus
A snowball has a radius of 3 inches. Assume the rate with which the volume of the snowball melts is proportional to its surface area. If, after 1 hour, the radius of the snowball is 2.9 inches, predict what the radius will be after … 
calculus
A spherical snowball is placed in the sun. The snowball melts so that it's surface area decreases at a rate of 2 cm2 /min. Find the rate at which the diameter decreases when the diameter is 8 cm 
Calc
A spherical snowball is placed in the sun. The snowball melts so that it's surface area decreases at a rate of 2 cm2 /min. Find the rate at which the diameter decreases when the diameter is 8 cm. I'm not sure what formulas to use, … 
Advanced Algebra
The volume V (r) of a sphere is a function of its radius r. Suppose a spherical snowball with a radius 2 f t started to melt so that the radius is changing at a constant rate of 4.5 inches per minute. If f(t) feet is the radius of … 
Calculus
A snowball melts at a rate of 2 cubic inch an hour. When the volume is 36π in^3, how fast is the radius shrinking? 
math
While building a snowman, a large snowball is created at the rate of 5 inches per hour. How fast is the volume of the snowball changing at the instant the snowball has a radius of 10 inches? 
calculus
A snowball is melting at the rate of 2 inches per hour. How fast is the surface area of the snowball changing at the instant the snowball has a radius of 3 inches i tried (d/dt) = 4pir^2 (dr/dt) its multiple choice and 72pi isnt there …