A faucet is filling a hemispherical basin of diameter 60 cm with water at a rate of
Question:
A faucet is filling a hemispherical basin of diameter 60 cm with water at a rate of 2 L/min. Find the rate at which the water is rising in the basin when it is half full. Use the following facts: 1 L is 1000 cm3. The volume of the portion of a sphere with radius r from the bottom to a height h is V = π (rh2 – 1/3 h3), as we will show in Chapter 6.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (12 reviews)
The volume of a hemisphere is23r 3 so the volume of a hemispherical basin of rad...View the full answer
Answered By
Mehwish Aziz
What I have learnt in my 8 years experience of tutoring is that you really need to have a friendly relationship with your students so they can come to you with their queries without any hesitation. I am quite hardworking and I have strong work ethics. Since I had never been one of those who always top in the class and always get A* no matter what, I can understand the fear of failure and can relate with my students at so many levels. I had always been one of those who had to work really hard to get decent grades. I am forever grateful to some of the amazing teachers that I have had who made learning one, and owing to whom I was able to get some extraordinary grades and get into one of the most prestigious universities of the country. Inspired by those same teachers, I am to be like one of them - who never gives up on her students and always believe in them!
5.00+
3+ Reviews
10+ Question Solved
Related Book For
Calculus Early Transcendentals
ISBN: 9781337613927
9th Edition
Authors: James Stewart, Daniel K. Clegg, Saleem Watson, Lothar Redlin
Question Posted:
Students also viewed these Mathematics 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 sphere of radius R has a uniform volume charge density P Determine the magnetic dipole moment of the sphere when it rotates as a rigid body with angular speed 4 about an axis through its center...
-
A solid conducting sphere with radius R carries a positive total charge Q. The sphere is surrounded by an insulating shell with inner radius R and outer radius 2R. The insulating shell has a uniform...
-
Are workers less likely to quit their jobs when wages are high than when they are low? The paper Investigating the Causal Relationship Between Quits andWages: An Exercise in Comparative Dynamics...
-
Explain how using a combination of two antimicrobial drugs helps prevent the development of spontaneously resistant mutants. Discuss.
-
An interest rate of 12% per year, c.c. (comp. continuously), is closest to an effective: 3% per quarter 3.04% per quarter O 6% per 6 month 4% per quarter
-
CHOOSING BETWEEN A MUTUAL FUND AND AN ETF. Maria Coffey is considering whether she should invest some extra money in a mutual fund or an ETF. Explain the key factors that should influence her...
-
Anasazi Earth Clothing is a retail store specializing in womens clothing. The store has established a liberal return policy for the holiday season in order to encourage gift purchases. Any item...
-
Management is responsible for establishing effective internal control for its organization, including measures to prevent, deter, and detect fraud. Appendix 7A describes antifraud programs and...
-
Gruden Company produces golf discs which it normally sells to retailers for $7 each. The cost of manufacturing 20,000 golf discs is: Materials ...... $ 10,000 Labor ........ 30,000 Variable overhead...
-
Calculate y'. y = x sec -1 x
-
Find the derivative of the function. F(t) = tan 1 + t 2
-
A matrix organization is characterized by which of the following statements? a. It attempts to combine the elements of two organizational forms. b. It requires employees to follow decisions made by...
-
CASE 7.2 Oracle Corporation: Share-Based Compensation Effects/Statement of Shareholders' Equity A sales-based ranking of software companies provided by Yahoo! Finance on November 5, Year 8, places...
-
A manufacturer of ovens sells them for $1,450 each. The variable costs are $800 per unit. The manufacturer's factory has annual fixed costs of $1,735,000. a. Given the expected sales volume of 3,100...
-
1.1 Explain the vitality of a strategy on businesses like Dell. (15) 1.2 Critically discuss the underlying objectives Dell should follow when formulating its business strategy. (20) 1.3 Discuss the...
-
Our international business plan involves exporting a sustainable apparel brand from India to UK. We will be exploring this plan in further detail below: Product/ Service: Sustainable clothing line...
-
If X is a random variable with probability density function f given by: f (x) = 4x 4x 3 when 0 x 1 and 0 otherwise, compute the following quantities: (a) The cumulative distribution function F...
-
High microwave intensities can cause biological damage through heating of tissue; a particular concern is cataract formation. The U.S. Food and Drug Administration limits microwave radiation near the...
-
a. Determine the domain and range of the following functions.b. Graph each function using a graphing utility. Be sure to experiment with the window and orientation to give the best perspective of the...
-
Find the area of the region enclosed by one loop of the curve. r = 4 cos 3
-
Find the area of the region enclosed by one loop of the curve. r = sin 4
-
Find the area of the region enclosed by one loop of the curve. r = 1 + 2 sin (Inner loop)
-
*please calculate irr in excel
-
Which of the following would not be a period cost? Research and development Direct materials Office supplies Advertising costs
-
\ table [ [ Activity Cost Pool,Activity Measure,Total Cost,Total Activity ] , [ Machining , Machine - hours,$ 3 3 0 , 0 0 0 , 1 5 , 0 0 0 MHs ] , [ Machine setups,Number of setups,$ 3 0 0 , 0 0 0 , 5...
Study smarter with the SolutionInn App