Question: question 2B please answer this question b) A right circular closed cylinder with radius r cm and height h cm is placed on a square

question 2B please answer this question

b) A right circular closed cylinder with radius r cm and height h cm is placed on a square block with sides 2r cm and height r cm. 2r 2r (i) If the total volume of the cylinder and square block is 30 cm', express h in terms of r. [2 marks] Page 2 of 3 (ii) Show that the total surface area of the square block and the cylinder is A = -+8r. Find the values r and h that minimize the total surface area. [7 marks] (iii) Determine the minimum total surface area. [2 marks]

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

QUESTION 7 Find the dimensions of the rectangle of largest area that has its base on the cataxis and its other two vertices above the xaxis and lying on the parabola y = 9 1:2 As your answer please...

I just need the answers please Question 1 {1 point] x Saved The area of a triangle can be found by using the formula: 69 % (base) (height) 0 a2 + b2 = r:2 O (base)2(hefght)2 0 [base] [height] 2...

QUESTION 9 A metal box (without a top) is to be constructed from a square sheet of metal that is 30cm on a side by cutting square pieces of the same size from the corners of the sheet and then...

270 Chapter 4 Applications of Derivatives c. What is the largest area the rectangle can have, and what are its dimensions? 12. Find the volume of the largest right circular cone that can be in- X...

12.00 Semester 2 Exam QUESTION 1 A recipe for a strawberry smoothie requires a fourth cup of sugar for every 2 cups of strawberries. Which of the following is not the ratio of sugar to strawberries?...

show work for all free response questions 1. Challenge: What is the area of the base of a figure if the volume is 210 ft 3 and the height is 14 ft? QUESTION 2 1. 1. How do you find the volume of a...

Question 1 State true or false in the following statements: 1 . A sphere has radius 3 a units. A right circular cylinder has height 4 times its radius, which is a units. The ratio of the volume of...

1. A translation can be defined as moving a figure to a new location with no change to the size or shape of the figure? True Fals e 2 points QUESTION 2 1. The following is an example of a...

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

Refer to the reality check on trusts 'Budget to target high earners' family trust schemes' on page 88. Explain how Australian families have been able to avoid paying tax in family trust schemes. Do...

Sharp Company's records show that overhead was over applied by $10,000 last year. This over applied manufacturing overhead was closed out to the Cost of Goods Sold account at the end of the year. In...

he highest price that a firm / investor will pay for this project is _ _ _ _ _ . Hint: The price of the project is the same as the investment cost. a . $ 2 8 8 , 3 1 7 b . $ 3 8 3 , 7 5 0 c . $ 3 4 5...

2. List unforeseen circumstances that jeopardize the project with respect to Scope Cost Schedule 3. What are the 4 phases in project management? What are to be done in each phase? 4. How to develop...

5. The next time a negative event occurs, or a negative memory occurs, think about how you need to perform to make this a success story.

1. To understand the impression you want the other or the others to have of yourself.

4. Imagine an everyday task that you find difficult or troublesome to perform. Think through the entire sequence of activities with this everyday task. How do you go about making this a success? How...