Question: A cylindrical can makes the most efficient use of materials when its height is the same as the diameter of its top. (a) Express the

A cylindrical can makes the most efficient use of materials when its height is the same as the diameter of its top. 

(a) Express the volume V of such a can as a function of the diameter d of its top.

(b) Express the surface area S of such a can as a function of the diameter d of its top.

d

d

Step by Step Solution

★★★★★

3.42 Rating (171 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

a V 2 h If d is ... View full answer

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 College Algebra Questions!

Q:

a. Construct a time-series graph of the sales data for HeathCos line of skiwear. Does there appear to be a seasonal pattern in the sales data? Explain why you think the results are as you have found....

Q:

Find all complex zeros of each polynomial function. Give exact values. List multiple zeros as necessary. (x) = x 4 + 2x 2 + 1

Q:

Find all complex zeros of each polynomial function. Give exact values. List multiple zeros as necessary. (x) = x 4 - 6x 3 + 7x 2

Q:

Braking distance for automobiles traveling at x miles per hour, where 20 x 70, can be modeled by the rational function (a) Use graphing to estimate x to the nearest unit when d(x) = 300. (b)...

Q:

Troubles for 7,8, & 9. the equation as the product of two binomials . (3x+ 2) ( 3 x+2) The simplified trinomial : 9 x2+12 X T4 4. Next write an equation for the surface area of the box (after the...

Q:

Solve the following problems neatly and systematically. Use free-floating decimals in all your calculations and express your answers in 4 decimal places. Please answer 1,2,3 1. Derive a formula to...

Q:

1. If a cone has a height of 15 mm and a volume of 147a mm find the diameter of the circular base. 10.84 mm 4.39 mm 13.61 mm 1.37 mm O None of the above 2. Find the surface area of a cube that has a...

Q:

Plz find L, D, heigh of the leg. Show all work plz You are to do a preliminary design for a horizontal gravity decanter. After being prepared in a reaction, impurities in crude mono-chlorobenzene...

Q:

I have 11 question Homework for calc 1 I upload a pic of question Please I need the answers asap. You are asked to build an open cylindrical can (i.e. no top) that will hold 665.5 cubic inches. To do...

Q:

Name: School: Date: Facilitator: 11.01 Exploring Solids Tell whether the solid is a polyhedron. If it is, find the number of faces, vertices, and edges. 1. Is this a polyhedron? 2. Is this a...

Q:

Need help answering the blank questions (7, 8, and 9) pex Learning - Practice Assignment 8/10/20, 3:13 PM Apex Learning - Practice Assignment 8/10/20, 3:13 PM + 111 196 96 100 Fill in the tables. Use...

Q:

Using the same method as for the first sample. estimate the proportion of cans that will fail at a pressure of 90 or less.

Q:

Silver Cup Berhad's current credit term to its suppliers is 2/15 net 60. If the company wishes to take the cash discount, the company would need to borrow RM500,000 to support its extended operating...

Q:

Which of the following is not a standard report ? A Budgetary Analysis BBalance Sheet Income Statement DStatement of Case Flows

Q:

What do you think was the objective of launching Nike+?

Q:

Solve the quadratic equation. Check your answers. + +7= 0

Q:

Complete the following. (a) Evaluate f(x) for each x-value in the table. (b) Calculate the average rate of change of f between consecutive data points in the table. (c) Find the difference quotient...

Q:

The formulas for f(x) and g(x) are identical except for their leading coefficients a. Compare the graphs of f and g. You may want to support your answers by graphing f and g together. f(x) = x, g(x)...

Q:

Interval Histogram of Infant mortality Frequency O O 50 100 150 Infant mortality across countries

Q:

Bond P is a premium bond with a coupon rate of 12 percent. Bond D has a coupon rate of 3 percent and is currently selling at a discount. Both bonds make annual payments, have a par value of $1,000, a...

Q:

12 and 14 A corporate bond is priced at $1,059.25 It has a coupon rate of 4.5%, matures in 30 years, and has a face value of $1,000. What is the bond's yield to maturity? (YTM w/semi-annual payments)...