Question

A liquid is poured into a conical container with a base radius of 6 inches and...

A liquid is poured into a conical container with a base radius of 6 inches and a height of 6 inches. When the water is 3 inches deep it is increasing at a rate of 4 inches/min. What rate is the lateral surface area of the water changing when the depth is 3 inches?

Homework Answers

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Water is poured into a conical container with height 4 in. and base radius 4 in....
Water is poured into a conical container with height 4 in. and base radius 4 in. When the height of the water in the container is 2.5 inches it is increasing at 3 in/min. At what rate is the lateral surface area of the water changing when the height is 2.5 inches? The formula for the lateral surface area of the cone is Slateral = πrs where s is the slant or lateral length.
Water is being poured into a cone-shaped container with radius 4 inches, and height 4 inches....
Water is being poured into a cone-shaped container with radius 4 inches, and height 4 inches. When the depth of the water is 3 inches, it is increasing by 3in/min. At what time, how fast is the surface area, A, that is covered by water increasing?
Water flows into a conical container at a rate of 5 m3/s. Assume that the container...
Water flows into a conical container at a rate of 5 m3/s. Assume that the container has a height of 4 meters and a base radius of 2 meters. Find the rate at which the water level is rising when the water is 2 meter deep.
a conical water tank with the vertex down has a radius of 9feet at the top...
a conical water tank with the vertex down has a radius of 9feet at the top and is 23 feet high. If water flows into the tank at a rate of 30ft^3/min, how fast is the depth of the water increasing when the water is 17 feet deep? Include units
A conical water tank with vertex down has a radius of 14 feet at the top...
A conical water tank with vertex down has a radius of 14 feet at the top and is 21 feet high. If water flows into the tank at a rate of 20 ft^3/min, how fast is the depth of the water increasing when the water is 13 feet deep?
A conical container of radius 6 ft and height 24 ft is filled to a height...
A conical container of radius 6 ft and height 24 ft is filled to a height of 22 ft with a liquid weighing 62.4 lb/ft3. How much work will it take to pump the liquid to a level of 2 ft above the​ cone's rim?
Suppose that liquid is to be cleared of sediment by allowing it to drain through a...
Suppose that liquid is to be cleared of sediment by allowing it to drain through a conical filter that is 12cm high and has a radius of 4cm at the top. Suppose also that the liquid is forced out of the cone at a constant rate of 2cm3/min. At what rate is the depth of the liquid changing at the instant when the liquid in the cone is 6cm deep ?
Corn is being poured through a chute at the rate of and falls into a conical...
Corn is being poured through a chute at the rate of and falls into a conical pile whose bottom radius is always the height. How fast will the radius of the base change when the pile is 8 feet high? Leave answer in terms of pi
A conical paper cup 3 inches across the top and 4 inches deep is full of...
A conical paper cup 3 inches across the top and 4 inches deep is full of water. The cup springs a leak at the bottom and loses water at the rate of 2 cubic inches per minute. How fast is the water level dropping at the instant when the water is exactly 3.5 inches deep?
A conical container of radius 5ft and height 30ft is filled to a height of 16ft...
A conical container of radius 5ft and height 30ft is filled to a height of 16ft of a liquid weighing 60.6 Ib/ft^3. a. How much work will it take to pump the contents to the rim? b. How much work will it take to pump the liquid to a level of 4ft above the cone's rim?