Answered: 10. A rectangular trough is 10 ?? long…

10. A rectangular trough is 10 ?? long and 3 ?? wide. Find how fast the surface rises, if the water flows in at the rate of 12 ??³ /???.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.3: Cylinders And Cones

Problem 6E: Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a...

See similar textbooks

Related questions

Q: Coffee is draining out of a conical filter at a rate of 2.25 in3>min. If the cone is 5 in tall…

A: Given: The change in volume for the filter is -2.25 in3/min The change in volume for the coffee pot…

Q: B. How rapidly will the water level inside a vertical cylindrical tank if we pump the water out at…

Q: 4. A car brakes with constant deceleration of 18 ft / s² producing skid marks that measure 306 feet…

Q: 4. A baseball diamond is a square 90 ft on a side. A player runs from first base to second base at…

Q: O. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

Q: Suppose that a tumor in a person's body has a spherical shape and that treatment is causing the…

Q: b. find Find the rate of the volume of a sphere with respect to its diameter D when the diameter is…

Q: 01/Water poured into a conical tank through a faucet, this tank has a base radius of 5 ft and 10 ft…

Q: 11. If a snowball melts so that its surface area decreases at a rate of 1 cm/min, find the rate at…

Q: 8. If a snowball melts so that its surface area decreases at a rate of 4 cm2 /min , find the rate at…

Q: . A man starts walking north at 4 ft/s from a point P. Five minutes later a woman starts walking…

A: We make diagram of the situation .

Q: A conical tank with an upper radius of 4 m and a height of 5 m drains into a cylindrical tank with a…

Q: 2. A water tank is in the form of an inverted right circular cone h feet deep and d feet wide across…

A: At any time t, let the height of the water be h ft and the radius of the cone formed by the volume…

Q: If the rate of change of the side length of an equilateral triangle is 2br / sec, what is the rate…

A: Please rate and feel free to ask any query about any part of the question. I have used applications…

Q: The radius of a circle is increasing at a rate of 2 ft/min. At what rate is its area changing when…

Q: 10. At what rate is the vertex angle of a right circular cone changing when the radius is 3 ft and…

Q: 11. If the original 24 m edge length x of a cube decreases at the rate of 5 m/min, when x = 3 m at…

Q: At noon Person A is 15 km east of person b. person A is walking west at 3km/h, and person b is…

A: initially A and B apart 15 km apart that person A moves towards west at rate (da/dt) = 3 km/hr…

Q: 21. For the camera and rocket shown in Figure 3.4.5, at what rate is the camera-to-rocket distance…

A: Given that the distance between camera and launching pad is 3000 ft., the distance between launching…

Q: If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate (in…

Q: 2. The volume of a cube is increasing at the rate of 6 cm /min. How fast is the surface area…

Q: 5. A rectangular trough is 10 ft long and 3 ft wide. Find how fast the surface rises, if water flows…

Q: How fast is the surface area of a circular oil spill in the ocean changing when the radius is 10ft…

Q: 3.) A conical tank is 10ft across the top and 12 ft. deep. If oil is poured into the tank at the…

Q: The volume of a cube is increasing at a rate of 60 in3/sec. At what rate is the length of each edge…

Q: 16. If the radius of a circle is increasing at the rate of 4 cm/s, find the rate of the increase in…

A: Given radius of a circle is increasing at the rate of 4 cm/sec.

Q: 10. A rectangular trough is 10 ft long and 3 ft wide. Find how fast the surface rises, if the water…

Q: The volume of. a cube decreases at a rate of 0.5 ft?/min. what is the rate of change of the side…

A: Application of derivative

Q: 12) A vertical cylinder is leaking wader at a rate I ft3% If the cylinder har a height of 10t Sec.…

A: Volume of cylinder = πr2h r= radius of cylinder h= height of cylinder

Q: It is known that a cable with a cross-sectional area of 0.80sq in. has a capacity to hold 2500 lb.…

A: Area measures the surface of a simple closed region. The units of area are the square of the units…

Q: If the sides of a square increase in length at a rate of 3 in/s, then the rate of change of the…

A: Let the side length of a square be x Now, Side length increases at a rate of 3in/s. That is, dxdt=3…

Q: Answer the following True or False: If an ice skater is skating directly away from a 3 meter tall…

Q: 42. If water enters a certain type of garden hose with a diameter of 1.5 cm at a speed of 5 m/s,…

A: 42. Given data is : Diameter of garden hose d1=1.5cm Speed v1=5m/s…

Q: Suppose that a tumor in a person’s body has a spherical shape and that treatment is causing the…

A: we know that the volume of the sphere V=43πr3 (1)

Q: Cuntainr GOULA sulatunr tun cuntaining 597L of the into the fank at a rate cf he well-s7imed mixtuie…

Q: 14. If a snowball melts so that its surface area decreases at a rate of 1 cm2/min, find the rate at…

A: To find the rate

Q: 11. At what rate is the volume of the cube changing if the edge is 8 cm and is changing at 4 cm/s?

A: As we know that; The expression for the volume of the cube with the edge length ''a'' is: v=a3…

Q: 1. How fast is the water level rising in a rectangular fish tank whose base is 20 ft² if the tank is…

A: Give: Area of base is A=20 ft2 Rate with which tank is filling dVdt=0.5 ft3/min. Volume of a…

Q: 01/ Water poured into a conical tank through a faucet, this tank has a base radius of 5 ft and 10 ft…

A: according to our guidelines we can answer only three subparts, or question and rest can be…

Q: 4 mm/s when these three sides are 5cm, 4 cm sides x, y and z increase at 6 mm/s, 5 mm/s and Fig.…

A: we have to find rate of change of AC.

Q: 18. If the radius of the circle increases at the rate of 0.01 cm per second, find the rate of change…

A: Topic:- Application of Derivative Correct option = a

Q: 14. As sand leaks out of a hole in a container, it forms a conical pile whose altitude is always the…

A: We have to find the rate at which the sand is leaking out when the height is 10 in. Or we can say…

Q: A kite is 30 ft. high and is moving horizontally at a rate of 10 ft./min. At what rate is the string…

A: Calculate the rate in the following way:-

Q: 7, If a snowball melts so that its surface area decreases at a rate of 3 cm2/min, find the rate at…

Q: The original 24 m edge length x of a cube decreases at the rate of 4 m/min. a. When x = 3 m, at what…

A: Given query is to find rate of change of surface are and volume when rate of chnage edge length is…

Q: The radius of a circle is increasing at a rate of 3 ft/min. At what rate is its area changing when…

Q: 1. The area of a circle decreases at a rate of 3 feet square a. If the circle starts at a radius of…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Question

10. A rectangular trough is 10 ?? long and 3 ?? wide. Find how fast the surface rises, if the water flows in at the rate of 12 ??³ /???.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

Compute the number of cubic centimeters of material in the locating saddle shown. Round the answer to the nearest cubic centimeter.
A plug gage tapers 3.10 mm along a 38.00 mm length, as shown in Figure 215. Set up a proportion and determine the amount of taper in the workpiece for each of the following problems. Express the answers to 2 decimal places.
Suppose that r=12 cm and h=15 cm in the right circular cylinder. Find the exact and approximate a lateral area. b total area. c volume.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the volume of a prism with a base area of 220.0 square centimeters and a height of 7.600 centimeters.
Compute the following problems. Express the answers to 1 decimal place. Use: T=LFN Fifteen 3.20-millimeter diameter holes each 57.15 millimeters deep are drilled inan aluminum workpiece. The high-speed steel drill runs at 9200 r/min with a feedof 0.05 millimeter per revolution. Determine the total cutting time.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Find the volume of a right circular cylinder that has a height of 4,600 inches and a base area of 53.00 square inches.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the base area of a right circular cone that is 15.8 centimeters high and has a volume of 1070 cubic centimeters.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. A solid right cylinder 9.55 centimeters high contains 1910 cubic centimeters of material. Compute the cross-sectional area of the cylinder.
Solve these prism and cylinder exercises. Where necessary, round the answers to 2 decimal places unless otherwise specified. Compute the height of a prism with a base area of 2.7 square feet and a volume of 4.86 cubic feet.
Compute the following problems. Express the answers to 1 decimal place. Use: T=LFN A slot 812.00 millimeters long is cut into a carbon steel baseplate with a feed of0.80 millimeter per revolution. Find the cutting time using a 75-millimeter diameter carbide milling cutter running at 640 r/min.