Calculus

Oil from a ruptured tanker spreads in a circular pattern. If the radius of the circle increases at the constant rate of 1.5 feet per second, how fast is the enclosed area increasing at the end of 2 hours?

1. 👍
2. 👎
3. 👁
4. ℹ️
5. 🚩
1. A=πr²

dr/dt=1.5 ft/s
r=1.5t
dA/dt = dA/dr * dr/dt
=2πr * 1.5 sq.ft/s
=3πr
=3π(1.5*2*3600)
=28800π sq.ft/s

1. 👍
2. 👎
3. ℹ️
4. 🚩
2. Oil spills out of a tanker at rate of 50ft3 per minute. The oil spreads in a 3
circle with thickness of 1 ft. Determine the rate at which the radius of the oil is increasing 48
when the radius reaches 200 ft.

1. 👍
2. 👎
3. ℹ️
4. 🚩
3. But it's 10 mins instead of two hr

1. 👍
2. 👎
3. ℹ️
4. 🚩
4. They reuse the questions from ur generation??? Bruhhh my generation is messed up . Hs class of 293456677

1. 👍
2. 👎
3. ℹ️
4. 🚩

Similar Questions

1. Trig(I think)

Suppose oil spills from a ruptured tanker and spreads in a circular pattern. If the radius of the oil spill increases at a constant rate of 1m/s, how fast is the area of the spill increasing when the radius is 30m?

2. Math

A fuel oil tank is an upright cylinder, buried so that its circular top 12 feet beneath ground level. The tank has a radius of 6 feet and is 18 feet high, although the current oil level is only 13 feet deep. Calculate the work

3. 4 Calculus Related-Rates Problems

1. How fast does the radius of a spherical soap bubble change when you blow air into it at the rate of 15 cubic centimeters per second? Our known rate is dV/dt, the change in volume with respect to time, which is 15 cubic

4. CALCULUS

A ruptured oil tanker causes a circular oil slick on the surface of the ocean. When its radius is 150 meters, the radius of the slick is expanding at 0.1 m/min, and its thickness is .02 m. At that moment: a. How fast is the area

1. math

The area of a circle is given by the formula A = ðr2, where r is the radius. If increasing the radius of a circle by 1 inch gives the resulting circle an area of 100ð square inches, what is the radius of the original circle?

2. Geometry

A dartboard consists of five concentric circles. The radius of the smallest circle is about 1 inch. The radius of the second circle is about 3 inches longer. The radius of the third circle is about 1 inch longer than the previous

3. CAL-Help on dr/dt

A circular oil slick of uniform thickness is caused by a spill of 1 cubic meter of oil. The thickness of the oil is decreasing at the rate of 0.1 cm/hr as the slick spreads. (Note: 1 cm = 0.01 m.) At what rate is the radius of the

4. Math

For any circle, which ratio is equal to the number π? Select all that apply. ***A. Circumference ------------------- Diameter B. Circumference ------------------- Radius ***C. Circumference ------------------- 2 Times Radius D.

1. Physics

One kind of slingshot consists of a pocket that holds a pebble and is whirled on a circle of radius r. The pebble is released from the circle at the angle θ so that it will hit the target. The angle in the drawing is 33.4°. The

2. Math

The area of a circle is found with the formula A= 3.14r2 where 3.14 represents 3.14. If a tile artist is placing tiles in a circular mosaic pattern and the area of the circle is 658 square feet what is the approximate radius of

3. Calculus

An oil tank in the shape of a right circular cylinder, with height 30 meters and a radius of 5 meters is two-thirds full of oil. How much work is required to pump all of the oil over the top of the tank? (The density of oil is 820