A sphere has radius r cm and volume V cm 3 . The radius is increasing at
Question:
A sphere has radius r cm and volume V cm3.
The radius is increasing at a rate of 1/π cm s-1.
Find the rate of increase of the volume when V = 972π.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (9 reviews)
The volume of a sphere is given by the formula V 43r3 We can use the chain rule to find the rate o...View the full answer
Answered By
BillClinton Muguai
I have been a tutor for the past 5 years. I have experience working with students in a variety of subject areas, including computer science, math, science, English, and history. I have also worked with students of all ages, from elementary school to college. In addition to my tutoring experience, I have a degree in education from a top university. This has given me a strong foundation in child development and learning theories, which I use to inform my tutoring practices.
I am patient and adaptable, and I work to create a positive and supportive learning environment for my students. I believe that all students have the ability to succeed, and it is my job to help them find and develop their strengths. I am confident in my ability to tutor students and help them achieve their academic goals.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge IGCSE And O Level Additional Mathematics Coursebook
ISBN: 9781108411660
2nd Edition
Authors: Sue Pemberton
Question Posted:
Students also viewed these Business questions
-
A nonconducting sphere has radius R = 2.31 cm and uniformly distributed charge q = +3.50 fC. Take the electric potential at the sphere's center to be V0 = 0. What is Vat radial distance (a) r = 1.45...
-
A population of bacteria is increasing at a rate of 1000 / (2 + 3t)0.75 bacteria per hour, starting from a population of 106. Could this sort of growth be maintained indefinitely? When would the...
-
A population of bacteria is increasing at a rate of 1000 / (2 + 3t)1.5 bacteria per hour, starting from a population of 1000. Could this sort of growth be maintained indefinitely? Would the...
-
An average of three small businesses go bankrupt each month. What is the probability that five small businesses will go bankrupt in a certain month?
-
A certain element is a metalloid that forms an acidic oxide with the formula R2O5. Identify the element.
-
Identify the criteria that an item must meet to qualify for recognition.
-
How can Charles deal with these issues in a way that is acceptable for both the organization and the employees?
-
Below is a project WBS with cost apportioned by percents. If the total project cost is estimated to be $600,000, what are the estimated costs for the following deliverables? a. Design? b....
-
MANAGERIAL ACCOUNTING I. Profitability and Solvency. Following are data about Blite company: Average total assets 1 5 0 , 0 0 0 Average owner s equity 6 0 , 0 0 0 Net income after interest and before...
-
On a particular day, a random sample of 12 tins of peas was taken from the output of a canning factory, and their contents were weighed. The mean and standard deviation of weights (of the contents of...
-
Find the coordinates of the points on this curve y = x 3 /3 5x 2 /2 + 6x 1 where the gradient is 2.
-
A curve has equation y = 4 + (x 1) 4 . The normal at the point P(1, 4) and the normal at the point Q(2, 5) intersects at the point R. Find the coordinates of R.
-
Independent random samples from normal populations produced the following results: a. Calculate the pooled estimate of s2. b. Do the data provide sufficient evidence to indicate that m2 7 m1? Test,...
-
Q1. (a) Name the types of reactions that organic compounds undergo (b) Differentiate between (i) electrophile and nucleophile
-
CH4 Br, Ligtht Q2. (a) CH3Br + HBr Propose a mechanism for the reaction; indicating initiation, propagation and termination.
-
Q4. Complete the following reactions by drawing the structure(s) of the product(s) formed.
-
1. Why did the Iconoclast emperors believe that using images in worship was wrong? 2. How are recent examples of iconoclasm similar to those of the early medieval period? 3. Why is iconoclasm a...
-
1. Difference Between Essential and Non-Essential Nutrients 2. what is Conditionally Essential Nutrients? explain with examples
-
The current assets and current liabilities sections of the balance sheet of Allessandro Scarlatti Company appear as follows. The following errors in the corporation?s accounting have been discovered:...
-
Kenneth Hubbard has prepared the following list of statements about managerial accounting and financial accounting. 1. Financial accounting focuses on providing information to internal users. 2....
-
Read Nonprofit Collaboration with Luxury Brands: Positive and Negative Effects for Cause-Related Marketing written by Boenigk and Schuchardt. Did the authors find the use of luxury brand partners to...
-
Read Nonprofit Collaboration with Luxury Brands: Positive and Negative Effects for Cause-Related Marketing written by Boenigk and Schuchardt. (See Articles.) What precautions did the authors...
-
Should the law be changed to permit charitable nonprofits to endorse or oppose political candidates and provide financial support to political campaigns? Why or why not?
-
Mediocre Company has sales of $120,000, fixed expenses of $24,000, and a net income of $12,000. If sales rose 10%, the new net income would be: Question 18 options: $16,800 $36,000 $13,200 $15,600
-
1. Why might managers of small restaurants decide not to adopt the standard work hour approach to controlling labour cost? (minimum 150 words )
-
Which statement is true regarding the U.S. GAAP impairment test for limited life intangibles? A. U.S. GAAP impairment is likely to be greater than IFRS impairment. B. The impairment test for limited...
Study smarter with the SolutionInn App