Imagine slicing through a sphere with a plane (sheet of paper). The smaller piece produced is called
Question:
Imagine slicing through a sphere with a plane (sheet of paper). The smaller piece produced is called a spherical cap. Its volume is V = πh2 (3r - h)/3, where r is the radius of the sphere and h is the thickness of the cap.
a. Find dr/dh for a sphere with a volume of 5π/3.
b. Evaluate this derivative when r = 2 and h = 1.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 60% (10 reviews)
So so r 1 2rh ...View the full answer
Answered By
JAPHETH KOGEI
Hi there. I'm here to assist you to score the highest marks on your assignments and homework. My areas of specialisation are:
Auditing, Financial Accounting, Macroeconomics, Monetary-economics, Business-administration, Advanced-accounting, Corporate Finance, Professional-accounting-ethics, Corporate governance, Financial-risk-analysis, Financial-budgeting, Corporate-social-responsibility, Statistics, Business management, logic, Critical thinking,
So, I look forward to helping you solve your academic problem.
I enjoy teaching and tutoring university and high school students. During my free time, I also read books on motivation, leadership, comedy, emotional intelligence, critical thinking, nature, human nature, innovation, persuasion, performance, negotiations, goals, power, time management, wealth, debates, sales, and finance. Additionally, I am a panellist on an FM radio program on Sunday mornings where we discuss current affairs.
I travel three times a year either to the USA, Europe and around Africa.
As a university student in the USA, I enjoyed interacting with people from different cultures and ethnic groups. Together with friends, we travelled widely in the USA and in Europe (UK, France, Denmark, Germany, Turkey, etc).
So, I look forward to tutoring you. I believe that it will be exciting to meet them.
3.00+
2+ 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 single slice through a sphere of radius r produces a cap of the sphere. If the thickness of the cap is h, then its volume is V = 1/3 h 2 (3r - h). Graph the volume as a function of h for a sphere...
-
(a) Show that the volume of a segment of height h of a sphere of radius r is V = 1/3 Ïh2 (3r - h) h
-
The volume of a sphere is given by where V is the volume and r is the radius. If a certain sphere has a radius given as 0.005250 m, find its volume, specifying it with the correct number of digits....
-
The Come-On-In company produces two types of entrance doors: Standard and Deluxe.The allocation base for indirect manufacturing costs has been direct labor hours.For 2016, the company completed the...
-
On 1 April 20X2 Modern Dwellings Ltd commenced business as builders and contractors. It spent 14,000 on the purchase of six acres of land with the intention of dividing the land into plots and...
-
Suppose you have a spatial database that supports region queries (with circular regions) but not nearest neighbor queries. Describe an algorithm to find the nearest neighbor by making use of multiple...
-
If career opportunities in an organization are limited, do managers have a responsibility to convey this information to employees? Explain your position.
-
During its first year of operations, Benji Corporation had the following transactions pertaining to its common stock . Jan. 10 Issued 70,000 shares for cash at $5 per share. July 1 Issued 40,000...
-
Could you elaborate on the concept of transactional leadership, delineating its reliance on contingent rewards and corrective measures to motivate and manage followership within hierarchical...
-
Using the cash flow statement find the dividends paid to the Pfizer owners in the most recent year.
-
Use the properties of logarithms to simplify the following functions before computing f'(x). f(x) = ln (3x + 1) 4
-
Prove the following identities and give the values of x for which they are true. 2x tan (2 tanx) 2
-
Determine whether each relation defines a function, and give the domain and range. (-2, 2) +++ 0. (0, 3) ||(3, 2) X
-
Describe the subcultures within an organization that still maintain a very bureaucratic structure. As the leader of a law enforcement agency, what steps would you implement to restructure your...
-
the code below, some of which is valid code and some pseudo code that needs to be fleshed out and clearly commented. Submit your pseudo code and flowcharts, finished code, and a test run of the code...
-
Suppose we are thinking about replacing an old computer with a new one. The old one cost us $1,250,000; the new one will cost $1,510,000. The new machine will be depreciated straight-line to zero...
-
Find two friends, family members, mentors or colleagues who can help you with this role play activity. You are Enrico an accounts clerk who works for Riscko. The other two colleagues that you are...
-
A small nation of 10 people idolizes the TV show The Voice . All they produce and consume are karaoke machines and CDs, in the following amounts: Karaoke Machines CDs Quantity Price Quantity Price...
-
In Exercise 2.44 you learned that stock screeners are automated tools used by investment companies to help clients select a portfolio of stocks to invest in. The table below lists the annualized...
-
An Atomic Energy Commission nuclear facility was established in Hanford, Washington, in 1943. Over the years, a significant amount of strontium 90 and cesium 137 leaked into the Columbia River. In a...
-
Calculate the iterated integral. ye*- dx dy C2
-
Calculate the iterated integral. *7/2 1? sin' d dt *3
-
Calculate the iterated integral. C xy/r? + y dy dx
-
Write the following as an inequality. -9 is less than x, and 6 is greater than or equal to x Use x only once in your inequality.
-
K Find the length of the golden rectangle whose width is 5.1 in. Use the approximation 1.62 for your work. If 5.1 is the width, then the length of the golden rectangle is approximately in. (Round to...
-
Could you elucidate the ways in which the novelist utilizes structural ambiguity and narrative fragmentation to depict the existential conflict between individual agency and societal determinism?
Study smarter with the SolutionInn App