Water is poured into the hemispherical bowl of radius 5cm at a rate of 3cm 3 s

Question:

Water is poured into the hemispherical bowl of radius 5cm at a rate of 3πcm³s⁻¹.
After t seconds, the volume of water in the bowl, V cm3, is given by

where hcm is the height of the water in the bowl.

a. Find the rate of change of h when h = 1.
b. Find the rate of change of h when h = 3.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

ISBN: 9781108407144

1st Edition

Authors: Sue Pemberton, Julian Gilbey

See More Books

Question Posted: Mar 10, 2023 11:25 PM

See More Questions

Water is poured into the hemispherical bowl at a rate of 4 cm 3 s -1 . After t seconds, the volume of water in the bow, V cm 3 , is given by V = 8h 2 1/3 h 3 , where h cm is the height of the water...
Water is flowing into a hemispherical bowl of radius 5 feet at a constant rate of 1 cubic foot per minute. (a) At what rate is the top surface of the water rising when its height above the bottom of...
Water is poured into an open-ended U-tube (Figure P9.1.1). Then oil is poured into one leg of the U-tube, causing the water surface in one leg to rise 6 in. above the oil-water interface in the other...
Sarah is confused about the difference between the perimeter and the area of a polygon. Explain the two concepts and the distinction between them.
Established brands shares of market tend to exceed their advertising shares of voice, whereas unestablished brands SOVs often exceed their SOMs. Using the concept of competitive interference as your...
What are the advantages and disadvantages of external recruiting?
Repeating an exam. Elaine is enrolled in a self-paced course that allows three attempts to pass an examination on the material. She does not study and has probability 2/10 of passing on any one...
Crate Express Co. produces wooden crates used for shipping products by ocean liner. In 2017, Crate Express incurred the following costs. Assume Crate Express used an average 500 kilowatt-hours each...
Introduction Try to discover the story of Dell Technologies and its efforts to revitalize its value proposition and escape a commodity trap by acquiring EMC for $ 6 7 billion the largest tech...
Charlie is a salesman at Pick up Motors car dealership. He is performing a detailed analysis of his sales for the first half of 2018, including representing his sales and commissions with graphs....
A curve has equation i. Find dy/dx and d 2 y/dx 2 ii Find the coordinates of the stationary points and state, with a reason, the nature of each stationary point. x 1 y = =+ 2x.
Find dx 2 y/dx 2 for each of the following functions. a. y = x 2 + 8x 4 b. y = 5x 3 7x 2 + 5 c. d. y = (2x 3) 4 e. f. g. h. y = 2x 2 (5 3x + x 2 ) i. .x 12/ - 7 = 1 6
Journal entries for insurance. Eason Corporation commenced business on September 1 , Year 12. It paid the one-year insurance premium of $3,600 for property and liability protection on this date and...
Financial strength can be defined as the capacity to produce enough cash flows and earnings to pay creditors, investors, and other debts, as well as to cover expenses. Even though sales by themselves...
The RMS Titanic was the most technologically advanced liner in the world in the year 1912. At 11:40pm or Sunday, April 14 of that year, the Titanic struck an iceberg and sank in less than three...
1. A management consultant is hired by a manufacturing firm to determine the best site for its next production facility. The consultant has had several meetings with the company's senior executives...
The figure below shows that a pump is used to transfer water from a reservoir at ground level to a storage take that is elevated. The pump is located 10 ft above the water surface of the reservoir...
P6-3 (Algo) Comparing and Contrasting the Effects of Inventory Costing Methods on Financial Statement Elements LO6-2, 6-3 Neverstop Corporation sells item A as part of its product line. Information...
Implement the containKey(k) method, as described in Exercise R-10.3, for the SortedTableClass.
Problem 2. (0.6 points, 0.2 points for each question) (a) A company turns its inventory 2 times a month. Its months-of-supply = Its days-of-supply = Please show your analysis below: _months. days. (1...
In an exercise in Chapter 7, we asked you to conduct a z test to ascertain whether the Graded Naming Test (GNT) scores for Canadian participants differed from the GNT norms based on adults in...
Unsavory researchers know that one can cheat with hypothesis testing. That is, they know that a researcher can stack the deck in her or his favor, making it easier to reject the null hypothesis. a....
Identify the critical t values for each of the following tests: a. A single-sample t test examining scores for 26 participants to see if there is any difference compared to the population, using a p...
explain the concept of Time Value of Money and provide and example. In addition to your discussion, please explain the differences between Stocks and Bonds
Wildhorse Inc. has just paid a dividend of $3.80. An analyst forecasts annual dividend growth of 9 percent for the next five years; then dividends will decrease by 1 percent per year in perpetuity....
Jenny wanted to donate to her alma mater to set up a fund for student scholarships. If she would like to fund an annual scholarship in the amount of $6,000 and her donation can earn 5% interest per...

Water is poured into the hemispherical bowl of radius 5cm at a rate of 3cm 3 s

Question:

V = 51h²--/th²³₂ πh3. 3

Step by Step Answer:

Given Rate of pouring water 3 cms Volume of hemispherical bowl 23 5 cm 5003 cm The volume of wat...View the full answer

Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook

Students also viewed these Mathematics questions