The diagram shows a water container in the shape of a triangular prism of length 120 cm.
Question:
The diagram shows a water container in the shape of a triangular prism of length 120 cm. The vertical cross-section is an equilateral triangle. Water is poured into the container at a rate of 24 cm3s−1.
a. Show that the volume of water in the container, V cm3, is given by
where hcm is the height of the water in the container.
b. Find the rate of change of h when h = 12.
Transcribed Image Text:
ih 120 cm
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 37% (8 reviews)
a To find the volume of water in the container we need to integrate the area of the crosssection o...View the full answer
Answered By
FELIX NYAMBWOGI
I have been tutoring for over 5 years, both in person and online. I have experience tutoring a wide range of subjects, including math, science, English, and history. I have also worked with students of all ages, from elementary school to high school.
In addition, I have received training in effective tutoring strategies and techniques, such as active listening, questioning, and feedback. I am also proficient in using online tutoring platforms, such as Zoom and Google Classroom, to effectively deliver virtual lessons.
Overall, my hands-on experience and proficiency as a tutor has allowed me to effectively support and guide students in achieving their academic goals.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
The diagram shows an open water container in the shape of a triangular prism of length y cm. The vertical cross-section is an isosceles triangle with sides 5xcm, 5xcm and 6xcm. The water container is...
-
The diagram shows a simplified household circuit. Resistor R1 = 240.0 Ω represents a light bulb; resistor R2 = 12.0Ω represents a hair dryer. The resistors r =...
-
The diagram shows a uniform lamina in the shape of a trapezium. The lamina is suspended from the point A. Find the angle between the vertical and the edge AB. 2a A 4
-
In the Young's double slit experiment, interference fringes are formed using Na-light of 589 nm and 589.5 nm. Obtain the region on the screen where the fringe pattern will disappear. You may assume...
-
If you were to design a psychographic study for a new chain of lower-priced coffee stores that are planned to compete against Starbucks, what lifestyle characteristics (i.e., peoples interest,...
-
How are we going to address competency gaps?
-
(4) What are the pros and cons of a hybrid approach that seeks to have either: (i) some parts of the organization structured in an organic way and other parts in a mechanistic way; or (ii) people...
-
West Company acquired 60 percent of Solar Company for $300,000 when Solars book value was $400,000. The newly comprised 40 percent noncontrolling interest had an assessed fair value of $200,000. Also...
-
The following financial statements apply to Karl Company: 2019 2018 Revenues Net sales $ 420,000 $ 350,000 Other revenues 16,000 10,000 Total revenues 436,000 360,000 Expenses Cost of goods sold...
-
The following data is reported for a fund and an appropriate benchmark as well as the risk-free rate each year: Fund Return Benchmark Return 12% 15% 15% 12% 16% 13% 19% 14% 20% 14% 22% 15% 26% 24%...
-
A piece of wire, of length 100 cm, is cut into two pieces. One piece is bent to make a square of side x cm and the other is bent to make a circle of radius r cm. The total area enclosed by the two...
-
The volume of the solid cuboid shown in the diagram is 576cm3 and the surface area is Acm 2 . a. Express y in terms of x. b. Show that c. Find the maximum value of A and state the dimensions of the...
-
An artifact found in an ancient Egyptian tomb produced 11.8 disintegrations of 14 C per minute per gram of carbon in the sample. Estimate the age of this sample, assuming that its original...
-
You are required to work with your groups for the restaurant business that you have created and develop your international market entry strategy. Please follow the below steps: STEP 1: Research the...
-
Demonstrate to the owner of the business how they could use e-commerce for example (Shopify, E-Bay, Etsy), social media for example (Facebook, Instagram, TikTok, Webpage) to market their business to...
-
Identify a company that has successfully created a brand image for their product or service by using social media. Explain how they did it . Which forms of media did they use?
-
The Magic that Makes Customer Experiences Stick Article Identify and explain in details Roger's Five Factors as it applies to the diffusion process.
-
Topic: Buick in China Task: After reading and viewing the items in this week's Reading & Study folder, identify and describe the following: the social and cultural aspects that made China attractive...
-
Give a concrete implementation of the retainAll method for the set ADT, using only the other fundamental methods of the set. You are to assume that the underlying set implementation uses fail-fast...
-
Select the correct answer for each of the following questions. 1. On December 31, 20X3, Saxe Corporation was merged into Poe Corporation. In the business combination, Poe issued 200,000 shares of its...
-
June 7 is known as Tax Freedom day in Canada. The annual taxes paid by an average Canadian family earning $105,236 is $45,167. The breakdown of these taxes is shown in the table below. Use an...
-
The Consumer Expenditure Survey measures how consumers allocate their spending. A recent survey asked respondents to specify the amount of their budget spent on food, housing, transportation,...
-
The primary objective of the Affordable Care Act was to decrease the number of nonelderly without any health insurance. It is estimated that there are still approximately 40 million Americans without...
-
Chapter o Homew ebook 50,000-unit production quantity: $ 227,049 7 70,000-unit production quantity: $ 66,751 d. In addition to mean profit, what other factors should FTC consider in determining a...
-
Diamond makes downhill ski equipment. Assume that comic has offered to produce ski poles for Diamond for $20 per pair Diamond needs 200,000 pairs of poles per period Diamond can only avoid 5150,000...
-
17? Which of the following statement is true Select one: a. All evidence must have the same level of reliability b. All evidence must have the same level of persuasiveness C. All are false d....
Study smarter with the SolutionInn App