Question

A machine starts dumping sand at the rate of 20 m3/min, forming a pile in the shape of a cone. The height of the pile is always twice the length of the base diameter. The volume formula for a right circular cone is

V=1/3 pi r^2 h

a. After 5 minutes, what is the height of the pile?

b. After 5 minutes, how fast is the height increasing?

c. After 5 minutes, how fast is the base radius increasing?

d. After 5 minutes, how fast is the area of the base increasing?

Answer 1

@myininaya

Answer 2

@johnweldon1993