A spherical balloon is inflated and its volume increases at a rate of 15 in 3 /min.
Question:
A spherical balloon is inflated and its volume increases at a rate of 15 in3/min. What is the rate of change of its radius when the radius is 10 in?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 75% (12 reviews)
dV dt 2 dr 4r 15 inmin ...View the full answer
Answered By
Deepak Pal
Hi there! Are you looking for a committed, reliable, and enthusiastic tutor? Well, teaching and learning are more of a second nature to me, having been raised by parents who are both teachers. I have done plenty of studying and lots of learning on many exciting and challenging topics. All these experiences have influenced my decision to take on the teaching role in various capacities. As a tutor, I am looking forward to getting to understand your needs and helping you achieve your academic goals. I'm highly flexible and contactable. I am available to work on short notice since I only prefer to work with very small and select groups of students. Areas of interest: Business, accounting, Project management, sociology, technology, computers, English, linguistics, media, philosophy, political science, statistics, data science, Excel, psychology, art, history, health education, gender studies, cultural studies, ethics, religion. I am also decent with math(s) & Programming. If you have a project you think I can take on, please feel welcome to invite me, and I'm going to check it out!
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Question Posted:
Students also viewed these Mathematics questions
-
A spherical balloon is inflated at a rate of 10 cm 3 /min. At what rate is the diameter of the balloon increasing when the balloon has a diameter of 5 cm?
-
A spherical balloon is being inflated. Find the rate of increase of the surface area (S = 4r2) with respect to the radius r when is (a) 1 ft, (b) 2 ft, (c) 3 ft. What conclusion can you make?
-
A spherical balloon is expanding from the sun's heat. Find the rate of change of the volume of the balloon with respect to its radius when the radius is 5 meters.
-
A system consists of n identical components each of which will, independently, function with probability p. The system will be able to operate effectively if at least half of the components function....
-
Explain the role of a non-executive director to a company and outline possible benefits of such an appointment to the company.
-
A researcher claims that the standard deviation of the life of a certain type of lawn mower is at most 2.8 years. Determine whether the claim represents the null hypothesis or the alternative...
-
The board of directors of Changing Seasons Health Spa authorizes the issuance of \(\$ 600,000\) of \(7 \%, 10\)-year bonds payable. The semiannual interest dates are May 31 and November 30. The bonds...
-
When Brunos basis in his LLC interest is $150,000, he receives cash of $55,000, a proportionate share of inventory, and land in a distribution that liquidates both the LLC and his entire LLC...
-
You are living in New York City in the 1870's as the impact of industrialization continues to accelerate, and along with it, a continued increase in immigration and the rise of inequality. Based upon...
-
Jai is a trader. The following balances appeared in his books on 31 March 208. $ Sales .........................................86,000 Purchases ................................51,500 Bank overdraft...
-
Evaluate the derivatives of the following functions. f(x) = tan -1 10x
-
Use implicit differentiation to find dy/dx. e xy = 2y
-
The Mackinaw Chocolate Company uses activity-based costing (ABC). The controller identified two activities and their budgeted costs: Setting up equipment .....$ 36,000 Other overhead .......$120,000...
-
Krauss Leasing Company signs a lease agreement on January 1, 2015, to lease electronic equipment to Stewart Company. The term of the non-cancelable lease is 2 years, and payments are required at the...
-
At December 31, 2015, Hillyard Corporation has a deferred tax asset of 200,000. After a careful review of all available evidence, it is determined that it is probable that 60,000 of this deferred tax...
-
In early January 2014, Reymont Corporation applied for a trade name, incurring legal costs of $18,000. In January 2015, Reymont incurred $7,800 of legal fees in a successful defense of its trade...
-
The Dotson Company, owner of Bleacher Mall, charges Rich Clothing Store a rental fee of \($600\) per month plus 5% of yearly profits over \($500\),000. Matt Rich, the owner of the store, directs his...
-
For 2015, Benjamin Inc. computed its annual postretirement expense as 240,900. Benjamins contribution to the plan during 2015 was 160,000. Prepare Benjamins 2015 entry to record postretirement...
-
Solve for the inside surface temperature of the brick wall described in Problem 15.15, but with the additional consideration of radiation from the outside surface to surroundings at 25C. Data From...
-
Smthe Co. makes furniture. The following data are taken from its production plans for the year. Required: 1. Determine the hazardous waste disposal cost per unit for chairs and for tables if costs...
-
Plot the gradient vector field of f together with a contour map of f. Explain how they are related to each other. f (x, y) = cos x - 2 sin y
-
Plot the gradient vector field of f together with a contour map of f. Explain how they are related to each other. f (x, y) = ln(1 + x 2 + 2y 2 )
-
Match the functions f with the plots of their gradient vector fields labeled IIV. Give reasons for your choices. f (x, y) = x 2 + y 2 II 4 4 4 4 -4 -4 -4 -4 IV 4 4 -4 -4 4 -4 -4 4-
-
Consider the Obsidian Project, which requires an investment of $362,868 initially, with subsequent cash flows of $58,160, $72,091 and $97,900. We can characterize the project with the following...
-
1. Define human resource (HR) management and explain how it relates to the management process. Cite examples of the application of these concepts, preferably from personal, professional experience.
-
Mickley Corporation produces two products, Alpha6s and Zeta7s, which pass through two operations, Sintering and Finishing. Each of the products uses two raw materialsX442 and Y661. The company uses a...
Study smarter with the SolutionInn App