MAT 295 Lecture 12: Related Rates

Problem 8 Air is being pumped into a spherical balloon so that its volume increases at a rate 150 en How fast is the radius of theballoon increasing when the diameter is 30 cm? Hint: V = /s. r3

Air is being pumped into a spherical balloon at the rate of 100 cm3/sec. How fast is the diameter increasing when the radius is 5 cm? (Hint: Write the volume formula oh a sphere in terms of d)

23. Air is being pumped into a spherical balloon so that its volume increases at the rate of 100 cubic centimeters per second. How fast is the radius of the balloon increasing when the diameter centimeters? The formula for the volume of a sphere is V (4/3)tr3