Question: A cone is constructed by cutting a sector from a circular sheet of metal with radius 25. The cut sheet is then folded up

A cone is constructed by cutting a sector from a circular sheet

A cone is constructed by cutting a sector from a circular sheet of metal with radius 25. The cut sheet is then folded up and welded. Find the radius and height of the cone with maximum volume that can be formed in this way. The radius is r= and the height is h= (Type exact answers, using radicals as needed.). 25 25

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

To find the radius and height of the cone with the maximum volume that can be formed by cutting a se... View full answer

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!

Ludy Mechanical Corporation has developed a new industrial grinder-model YS-48-that has been designed to outperform a competitor's best-selling Industrial grinder, Model YS-48 has a useful life of...

A cone is constructed by cutting a sector from a circular sheet of metal with radius 20. The cut sheet is then folded up and welded (see figure). Find the radius and height of the cone with maximum...

Rhino Ltd is incorporated in South Africa and listed on the JSE. Rhino Ltd manufactures outdoor and safari equipment. Lion Ltd is a tourism company that focuses on bringing international travellers...

25. A piece of wire 12 m long is cut into two pieces. One piece is bent into a square and the other is bent into a circle. How should the wire be cut so that the total area enclosed is a minimum? 26....

i need help A boat on the ocean is 3 mi from the nearest point on a straight shoreline; that point is 9 mi from a restaurant on the shore. A woman plans to row the boat straight to a point on the...

1 0/29I2O1 7Section 4.4-Oiive Carver 7, A 6it-taence uns parallel to a wall of a house at a distance of 30 ft. Find the length ofthe shortest ladde that extends from the ground, OVer the fence, to...

please show any work. thank you! sector from a circular sheet of metal with radius 17. The cut sheet is he radius and height of the cone with maximum volume that can be it is h = als as needed.)

401 Test 4: Chapter 7 Applications of Differentiation Take: 1 | 08/21/16 Directions: Thinkwell Test 4 directions BEFORE TAKING THE TEST: 1] From Thinkwell COURSE HOME tab, complete all of the...

Pg 30. Kindly write the answer on a piece of paper for us to easily understand. Or in form Thankyou 10. A closed cylindrical tank is 8 feet long and 3 feet in diameter. When lying in a horizontal...

6. Find the area of the composite shape. 12m 4m 9m 5m F. 108 square meters G. 93 square meters H. 90.5 square meters J. 73 square meters 7. A regular hexagon will be cut out of a circular piece of...

A heat exchanger is used to transfer heat from a hot fluid to a cold fluid. The hot fluid has a flow rate of 0.2 kg/s and a specific heat of 4.2 J/gC. The cold fluid has a flow rate of 0.3 kg/s and a...

Write a comprehensive analysis of the Nissan case study by addressing the critical elements below. Imagine that you are hired into the role of the operations manager at the company described in the...

What are two reasons why ig is better to go to banks instead of family and friends for business loans? Banks will often charge lower rates. Banks can assist the business in andlyang financial needs....

In 2017, ABC News reported that 58% of U.S. drivers admit to speeding. Suppose that a new satellite technology can instantly measure the speed of any vehicle on a U.S. road and determine whether the...

The driver of a pickup truck accelerates from rest to a speed of 45 mi / hr over a horizontal distance of 225 ft with constant acceleration. The truck is hauling an empty 500-lb trailer with a...

(a) About how much water does your household use per day? Use the following data to estimate your house-hold?s daily water usage. (b) Determine from your water department (or company) your...

In certain programming languages, comments appear between delimiters such as /# and #/. Let C be the language of all valid delimited comment strings. A member of C must begin with /# and end with #/...

The 0 particle is a neutral nonstrange meson that can decay to a positive pion, a negative pion, and a neutral pion. Write the reaction for this decay, and verify that it conserves charge, baryon...

The one source of power in organizations from Merchant that I have selected to discuss is expert power. This kind of power comes from the knowlegde one holds from being an expert in a specific area (...

A plate shaped like an equilateral triangle 1 m on a side is placed on a vertical wall 1 m below the surface of a pool filled with water. On which plate in the figure is the force greater? Try to...

Use the properties of infinite series to evaluate the following series.

Find the volume of the described solid of revolution or state that it does not exist. The region bounded by f(x) = (x 2 - 1) -1/4 and the x-axis on the interval [1, 2] is revolved about the y-axis.

If an invoice indicates that interest at the rate of 2% per month will be charged on overdue amounts, what effective rate of interest will be charged?

Columbia Trust wants its annually, semiannually, and monthly compounded five-year GICs all to have an effective interest rate of 5.75%. What nominal annual rates should it quote for the three...

To be equivalent to 10% compounded semiannually, what must be the nominal rate with: a. Annual compounding? b. Quarterly compounding? c. Monthly compounding?