Question

an oil tanker in puget sound has sprung a leak and a circular oil slick is forming The oil slick is 6 inch thick everywhere is 100 feet in diameter and the diameter is inreasing at 15 feet per hour Your job as the tankers capt is to determine how fast the oil is leaking from tanker

Answer 1

is this calculus?

Answer 2

differentiation?

Answer 3

Related problem. If you sketch the problem, you will see a right circular cylinder that has a height of .5 ft. (6 in.) and a radius that is increasting at 7.5 ft per hour. You are wanting to find the rate the volume is increasing. Use the equation for volume for a cylinder, keep the units consistent, Good luck.

Answer 4

As phi and cwrw238 stated this is calculus related rate problem and you differentiate.

Answer 5

You are to find this when the radius is 50 ft. How you coming along, if you get stumped, show us where your are in the solution and what is holding you up.

Answer 6

Hint: use the relation

dv/dt = dr/dt * dv/dr

Answer 7

Good hint and furthermore dr/dt is given in the problem dv/dt is what you are looking for and all you need to do is the dv/dr. Use the formula for volume of a cylinder. Do you know what that formula is?

Answer 8

Earth to @RaguRagu you still there?

Answer 9

I hope this is not an answer phishing expedition, I have to put up some lights. Will check in later.

Answer 10

good work radar