The radius of a spherical balloon is decreasing at a rate of 2 - in/sec. Which of the following is the rate of change of volume (in cubic inches/second) when the radius of the balloon is 4 inches? 128 -128 -64 64 B.

The radius of a spherical balloon is decreasing at a rate of 2 - in/sec. Which of the following is the rate of change of volume (in cubic inches/second) when the radius of the balloon is 4 inches? 128 -128 -64 64 B.

Big Ideas Math A Bridge To Success Algebra 1: Student Edition 2015

1st Edition

ISBN:9781680331141

Author:HOUGHTON MIFFLIN HARCOURT

Publisher:HOUGHTON MIFFLIN HARCOURT

Chapter10: Radical Functions And Equations

Section: Chapter Questions

Problem 9CR

See similar textbooks

Related questions

Q: The edges of a cube increase at a rate of 2 cm/sec. How fast is the volume changing when the length…

Q: A triangle has a base that is decreasing at a rate of 10 feet per hour with the height being held…

Q: Oil spilled from a ruptured tanker spreads in a circle whose area mi? How fast is the radius of the…

Q: A spherical balloon is inflated with gas at the rateof 800 cubic centimeters per minute. (a) Find…

A: To find the rate of change when the volume is increasing, the volume equation V=43πr3 is…

Q: centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 8…

A: The volume of a pyramid isBh3 , where B is the area of the base and h is the height of full pyramid.…

Q: Bob is blowing bubbles, the radius of a (spherical) bubble is increasing at the rate of 3 ft/hr. At…

Q: The top of a ladder slides down a vertical wall at a rate of 0.125 m/s. At the moment when the…

A: Find the length of ladder when bottom of the ladder is increasing at the rate of 0.3m/s when bottom…

Q: Please

A: Draw the figure:

Q: A tank of water in the shape of a cone is being filled with water at a rate of 12 m3/ sec. The base…

Q: wo cars start moving from the same point. One travels south at 32 mi/h and the other travels west at…

Q: oil

A: We will find how much oil is left in the rank after 3 hours.

Q: Oil spilled from a ruptured tanker spreads in a circle whose ar mi? How fast is the radius of h…

Q: The number N of bacteria in a culture after t days is modeled by N= 400 [1 - 3/(t2+2 }2].Find the…

A: Given: The number N of bacteria in a culture after t days is modeled by: N=4001-3t2+22 To find the…

Q: Helium is pumped into a spherical balloon at a rate of 2 cubic feet per second. How fast is the…

Q: The radius of a spherical balloon is decreasing at arate of in/sec. Which of the following is the…

Q: A stalk of corn grows from a height of 1 foot to a height of 7 feet in 2 months. What is its average…

Q: baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base with…

Q: 3. A cylinder is being flattened so that its volume does not change. Find the rate of change of the…

A: Volume of cylinder(V) =πr2hsince, volume does not change…

Q: The altitude of a triangle is increasing at a rate of 1.5 centimeters/minute while the area of the…

Q: Water is pouring into an inverted cone at the rate of 12 cubic meters per minute. If the height of…

A: We have to find the rate of water level rising in the inverted cone. This problem can be solved by…

Q: 21. The radius of a spherical balloon is increasing at the rate of 3 centimeters per minute. How…

Q: The number N of bacteria in a culture after t days is modeled by N= 400 [1 - 3/(t2+2 }2].Find the…

A: We have to use chain rule of differentiation. According to chain rule of differentiation , the…

Q: The typical velocity (in centimeters per second) of a marine organism of length l (in cen- timeters)…

A: Given that: The typical velocity (in centimeters per second) of a marine organism of length l (in…

Q: Q-4-A leak in a spherical balloon filled with gas allows the gas to leak at a rate of 3.5 m³ /min .…

A: Given that, a leak in a spherical balloon filled with gas allows the gas to leak at a rate of…

Q: The edges of a cube increase at a rate of 2 cm/sec. How fast is the volume changing when the length…

Q: The volume of a sphere is decreasing at a rate of 6 cm³/sec. Find the 32n rate of change of its…

A: It is given that ; Decreasing rate of volume of sphere=6cm3/sec We have to find the rate…

Q: Q-3-An airplane is flying overhead at a constant elevation of 24000 ft. A man is viewing the plane…

A: Question 3:

Q: 15. Sand is falling off a conveyor belt at a rate of 12 cubic feet per minute into a conical pile.…

A: Since solve the first question for you. If you want any specific question to be solved then please…

Q: 37. A rock dropped into a pond causes a circular wave of rip- ples whose radius increases at 4…

A: Here we solve this problem by Applications of Derivatives

Q: The radius of a circle is increasing at a constant rate of 0.2 meters per second What is the rate of…

A: Given that the radius of a circle is increasing at a constant rate of 0.2 meters per second. To find…

Q: 10. A cylinder is being filled such that the height of its contents is increasing at a rate of 5 cm…

A: Rate of change of height = 5 cm/s Volume, V = πr2h Radius, r = 3

Q: The radius of a spherical balloon is increasing at a rate of 2 centimeters per minute. How fast is…

A: see below the answer and calculation

Q: Ivprw.f A plane flying horizontally at an altitude of 1.5 mile and speed of 600 mph passes directly…

A: Question is solved.

Q: 9. The radius of a circle is increasing at a rate of 3 centimeters per second. At a certain instant,…

A: We want to find the rate of change of area of the circle when r= 8 cm and the radius of the circle…

Q: 2. The length () of rectangle is decreasing at the rate of 2 cm/sec while the width (w) is…

A: Given Length of rectangle is decreasing at the rate of 2cm/sec⇒dldt=-2cm/secwidth is increasing at…

Q: 7. A spherical balloon is being filled with helium. Relate the rate of change of volume with the…

Q: A rectangle has a length of 6 inches and a width of 4 inches whose sides are changing. The length is…

A: A rectangle has a length of 6 inches and a width of 4 inches whose sides are changing.The length is…

Q: The altitude of a triangle is increasing at a rate of 3 centimeters/minute while the area of the…

Q: Sand is being dropped at the rate of 5 63/min onto a conical pile. If the height of the pile is…

Q: ach side of a square is increasing at a rate of 7 cm/s. At what rate is the area of the square…

A: Square: A square is a polygon with four sides and all the four sides are equal. Also all the four…

Q: Sand pouring from a container forms a conical pile whose height is equal to the diameter. If the…

A: Note: According to our guidelines we can answer only 5th question

Q: A stone dropped into a still pond sends out a circular ripple whose radius increases at a constant…

Q: When a circular plate of metal is heated in an oven, its radius increases at a rate of 0.05 cm /…

A: Area =πr² Find dA/dt when r=56 cm

Q: 10. A 6-ft-tall person walks away from a 10-ft lamppost at a constant rate of 3 ft/sec. What is the…

A: Given that: The height of the person is 6 ft. The height of the lamppost is 10 ft. The person is…

Q: The population of bacteria in a culture grows at a rate proportional to the number of bacteria…

A: dNdt=kN∫dNdt=∫kdtlnN=kt+ln N0N(t)=N0ekt

Q: A triangle's base is increasing at the rate of 2 inches/sec, its height at 5 inches/sec. At what…

A: Increasing rate of base, dbdt=2 inches/sec. Increasing rate of height, dhdt=5 inches/sec. Area of…

Q: The radius of a spherical balloon is increasing at a rate of 4 centimeters per minute. How fast is…

A: Volume of the sphere is given by :V=43πr3where r = radius of the sphere

Q: 2.) An underwater drone is being used to explore ancient ruins at the bottom of the ocean. begins at…

Q: 3. A snowball is rolling down a hill, getting bigger as it goes. Assume the snowball remains a…

Concept explainers

Exponential Growth Model

The relation that represents an exponential function is:

Question

The radius of a spherical balloon is decreasing at a rate of
in/sec.
TC
Which of the following is the rate of change of volume (in cubic inches/second)
when the radius of the balloon is 4 inches?
A
1287
B
-128
(с) -64л
D
64

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

Trending now

This is a popular solution!

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Rate of Change$

Learn more about

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

Similar questions

Use the table of values you made in part 4 of the example to find the limiting value of the average rate of change in velocity.
The kinetic energy E of an object varies jointly with the object’s mass m and the square of the object’s velocity v . An object with a mass of 50 kilograms traveling at 16 meters per second has a kinetic energy of 6400 joules. What is the kinetic energy of an object with a mass of 70 kilograms traveling at 20 meters per second?
Find the average rate of change of f(x)=x2x on the interval [1,9] .
In 2014, Chile experienced an intense earthquake with a magnitude of 8.2 on the Richter scale. In 2014, Los Angeles also experienced an earthquake which measured 5.1 on the Richter scale. Compare the intensities of the two earthquakes.