Sunday

March 29, 2015

March 29, 2015

Posted by **sam** on Sunday, May 18, 2008 at 11:15pm.

a) at the instant when the radius of oil slick is 100 cenimetters and the hieght is 0.5 cm the radius is increasing at the rate of 2.5 cm per min. at this instant what is the rate of change of the height of oil slick with respect to time in cm per min

- calculus -
**Reiny**, Monday, May 19, 2008 at 12:56amlet the thickness of the oil slick be h cm

let the radius be r cm

let the volume be V cm^3

given:

dV/dt = 2000cm^3/min

when r=100 cm, dr/dt = 2.5 cm/min and

V=pi(r^2)h

dV/dt = pi(r^2)dh/dt + 2pi(r)(h)dr/dt

2000 = pi)100^2)dh/dt + 2pi(100)(.5)(2.5)

solve for dh/dt

**Answer this Question**

**Related Questions**

calc - oil is leaking from a pipeline on the surface of a lake and forms an oil ...

Calculus - An ocean oil well is leaking oil into the ocean at a rate of 1 m3/hr ...

Calculus - An ocean oil well is leaking oil into the ocean at a rate of 1 m3/hr ...

Calculus - An ocean oil well is leaking oil into the ocean at a rate of 1 m3/hr ...

CAL-Help on dr/dt - A circular oil slick of uniform thickness is caused by a ...

CALCULUS - A ruptured oil tanker causes a circular oil slick on the surface of ...

math please help - A ruptured oil tanker causes a circular oil slick on the ...

MATH-CALC - 3.A ruptured oil tanker causes a circular oil slick on the surface ...

physics - one liter (1000cm3) of oil is spiled onto a smooth lake. if the oil ...

Calculus- rates - A tanker is spilling oil into the water resulting in an oil ...