A cylinder is leaking water but you are unable to determine at what rate. The cylinder has a height of 2m and a radius of 2m. Find the rate at which the water is leaking out of the cylinder if the rate at which the height is decreasing is 10 cm/min when the height is 1 m.

A cylinder is leaking water but you are unable to determine at what rate. The cylinder has a height of 2m and a radius of 2m. Find the rate at which the water is leaking out of the cylinder if the rate at which the height is decreasing is 10 cm/min when the height is 1 m.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

See similar textbooks

Related questions

Q: The legs of an isosceles right triangle increase in length at a rate of 2 m/s. a. At what rate is…

Q: An engineer is experimenting with a cylindrical can with a fixed height of 15 in. Find the rate of…

A: GIVEN- A CYLINDER OF HEIGHTS 15 inch is given AND RADIUS =4 inch TO FIND - RATE OF CHANGE OF…

Q: The volume of an ice cube is decreasing at a rate of 1.5 cm³/ sec. At what rate is a side of the ice…

A: We know that volume of a cube is given by V=a3 here V=volume of cube ,a=edge of cube Rate of change…

Q: A spherical balloon is to be deflated so that its radius decreases at a constant rate of 6cm/min.…

Q: If the radius of a sphere is increasing at a constant rate of 2 cm/sec, then the volume 3 is…

Q: The top of a ladder slides down a vertical wall at a rate of 0.375 m/s. At the moment when the…

A: Let the ladder is k meters. (k=constant) Let the distance of the bottom = x m and distance of the…

Q: Suppose you have a square that is 300 ft on each side. Also suppose the length is increasing at the…

A: Given that a square that is 300 ft on each side and the length is increasing at the rate 3ft/sec,…

Q: A vertical cylinder is leaking water at a rate of 3 m/sec. If the cylinder has a height of 10 m and…

A: The volume of the cylinder is given by V=πr2h, where V=volume of the cylinder r=radius of the…

Q: The legs of an isosceles right triangle increase in length at a rate of 6 m/s a. At what rate is the…

A: Let, l be the length of a legth of a leg of an isosceles right triangle, h be the length of the…

Q: A spherical snowball is melting in such a way that its volume is decreasing at a rate of 2 cm / min.…

A: Given- dVdt=-2cm3/min (negative sign indicates that it is decreasing). To find- The rate of radius…

Q: The volume of an ice cube is decreasing at a rate of 1.5 cm³/sec. At what rate is a side of the ice…

A: option A is correct detailed solution with explanations given below

Q: A cylindrical column is (3m) high and (0.2m) radius, if the radius of the column increases at a rate…

Q: a) Water is flowing into a leaky cistern at the rate of 31.4 cu ft./min. The cistern is a right…

A: Given that The water is flowing into a leaky cistern at the rate of 31.4 cu ft./min ⇒dVdt=31.4…

Q: Given a cylinder surmounted on both ends by a hemisphere, find the rate of change of its volume with…

A: Given: Cylinder is surmounted by hemisphere at both ends.And height of cylinder is 5 meter.

Q: A spherical balloon is being inflated at the rate of 12m3 /min. If the radius of the balloon is 6m,…

Q: If a snowball melts so that its surface area decreases at a rate of 2 cm2/min, find the rate at…

Q: An inverted conical tank with a height of 6 feet and a diameter of 4 feet that was filled with water…

A: It is given that, the height and diameter of the conical tank is 6 feet and 4 feet, respectively.Let…

Q: A cone-shaped tank of water is leaking water at a constant rate of 3 m³/hour. If the base radius of…

A: Using volume of cone and applications of derivative idea we solve this

Q: An inverted pyramid is being filled with water at a constant rate of 55 cubic centimeters per…

A: Given: dVdt==55, side length b0=4 and height h0=11. To find: dhdt, when h=2.

Q: The cone is 12 cm tall and has a radius of 4 cm. If the ice cream fills the cone evenly at a rate of…

Q: A spherical balloon is expanding. If the radius is increasing at the rate of 2 inches per minute, t…

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

A: Given Decreasing rate of surface area = 3cm2/min To find: the rate of decreasing of diameter when…

Q: The legs of an isosceles right triangle increase in length at a rate of 5 m/s. a. At what rate is…

Q: If the rate of change in volume of a sphere is equal to its rate of change of its radius. What is…

A: if we let the radius of square = r unit then volume of the square =4/3 πr3 unit3

Q: A vertical cylinder is leaking water at a rate of 8m^3/sec. if the cylinder has a height of 10m and…

A: In a vertical cylinder water is leaking at a rate of 8 m3/sec. dVdt=8 Height of the cylinder is 10…

Q: If a hemisphere bowl of radius 6 cm contains water to a depth of x cm, the volume of the water is rx…

A: This question is related to application of derivatives.

Q: The legs of an isosceles right triangle increase in length at a rate of 6 m divided by s.a. At what…

A: Let x be the length of leg and h be the length of hypotenuse of an isosceles right triangle. Then…

Q: The height h of a right circular cylinder is twice its radius r. Find the rate of the volume V of…

A: The volume of the right circular cylinder is given as: V=πr2h where 'r' is the radius of the cone…

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

A: 1) Let A be the surface area r = radius of the sphere D = diameter of sphere = 10 cm…

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

A: To find the rate at which the diameter decreases when the diameter is 12 cm and surface area…

Q: The area of an equilateral triangle is decreasing at a rate of 3 cm^2/min. Find the rate (in…

A: We want to find the rate (in centimeters per minute) at which the length of a side is decreasing…

Q: A 50 feet ladder is leaning against a wall of a building. Suppose the base of the ladder slides away…

Q: The length of the horizontal leg of a right triangle is increasing at a rate of 3 ft/sec, and the…

A: Given A right triangle horizontal leg = 7ft vertical leg = 1ft

Q: If a snowball melts so that its surface area decreases at a rate of 4 cm4/min, find the rate at…

A: Note that snowball has a shape of sphere.

Q: A triangle has a base that is decreasing at a rate of 11 cm/s with the height being held constant.…

Q: The top of a ladder slides down a vertical wall at a rate of 0.25 m/s. At the moment when the bottom…

A: Given:

Q: The radius of a right circular cone is increasing at a rate of 5 in/s while its height is decreasing…

A: Let, r - radius of the right circular cone h-Height of the right circular cone V- Volume of the…

Q: Initially filled with water, a conical reservoir is 24 ft deep and 12 ft across the top. Water goose…

A: Solution: Consider the given that conical reservoir 24ft (h) deep and 12ft across the top that is…

Q: If the radius of a sphere increases at a rate of 0.5 m/sec, then the rate at which the volume of the…

A: Let the radius of the sphere be r. Then the volume of the sphere is: V=43πr3…

Q: . A vertical cylinder is leaking water at a rate of 1 ft /sec. If the cylinder has a height of 10 ft…

Q: How long (in hours) would it take to fill a city water tank that has an inside diameter of 120 feet…

Q: If a snowball melts so that its surface area decreases at a rate of 5 cm2/min, find the rate at…

Q: A triangle has a base that is decreasing at a rate of 4 cm/s with the height being held constant.…

A: Let b and h be the base and height of the trianglegiven rate at which base is decreasing, dbdt=4cm/s…

Q: The radius of a right circulare cylinder is increasing at the rate of 3 in/sec, while the height is…

A: To determine the change of rate of the volume of cylinder.

Q: The top ladder slides down a vertical wall at a rate of 0.15m/S. At what moment when the bottom of…

A: Given that the top ladder slides down a vertical wall at a rate of 0.15m/s. the bottom of the ladder…

Q: The height of a triangle is increasing at a rate of 2 [cm/min] and its area at a rate of 2 [cm²/…

A: It is given that height of triangle is increasing with a rate 2 cm/min and area with a rate 2…

Q: The radius of an air bubble is increasing at the rate of 1/2 cm/s.At what rate is the volume of the…

Q: A spherical balloon has been poked with a needle and air is seeping out at a rate of 2cm³ /hr. Find…

A: The volume of the spherical balloon is decreasing at the rate of 2 cm3/hr. We have to find the rate…

Q: The legs of an isosceles right triangle increase in length at a rate of 4 m/s. a. At what rate is…

Q: The diameter of a sphere is 5(2x+ 5), the rate of change of its surface area with respect to x is

Question

A) draw and label a picture. B) identify the formula C) differentiate implicitly D) answer the question These question has 4 part to the question

1) A cylinder is leaking water but you are unable to determine at what rate. The cylinder has a height of
2m and a radius of 2m. Find the rate at which the water is leaking out of the cylinder if the rate at
which the height is decreasing is 10 cm/min when the height is 1 m.

Expert Solution

This question has been solved!

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

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps with 1 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Basics (types, similarity, etc)$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.