Find the greatest volume of a right circular cylinder which can be inscribed in a right circular cone  with a radius of 5 inches and a height of 12 inches.

Q: If 1600 square centimeters of material is available to make a box with a square base and an open…

A: Let heigh of box=h  and base sides of box=a  The surface area of open box is   S=the sum of the…

Q: If 2400 square centimeters of material is available to make a box with a square base and an open…

A: Given information: 2400 square centimeters of material is available to make a box Consider x is the…

Q: if 900 square centimeters of material is available to make a box with a square base and an open top,…

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Q: Find the dimensions of the rectangular box with the largest volume if the total area is given as 64…

A: Given that total surface area =  64 cm^2. We know that, the surface area for the rectangular box…

Q: A 216 m2 rectangular pea patch is to be enclosed by a fence and divided into two equal parts by…

A:

Q: Find the greatest volume of a rectangular box such that the sum of its length, width, and height…

A: Since you have posted multiple questions, I will solve only the first one as per the policy of…

Q: Find the height of a storage tank in the shape of a right circular cylinder that has a circumference…

A: Consider the radius and height of the storage tank as r and h, respectively. Given that the…

Q: Find the height of the largest volume of a right cylinder that can be inscribed in a right circular…

A: Cone          Cylinder   Radius         r                   x   Height         h…

Q: If 1700 square centimeters of material is available to make a box with a square base and an open…

A: Given the surface area of square base box

Q: A home owner wishes to use 600 feet of fence to enclose two identical adjacent pens, as in the…

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Q: A rancher wants to enclose two rectangular areas near a river. There are 240 yd of fencing…

A: Perimeter of rectangle = 2(l + b)

Q: A right pyramid has a rectangular base that is 6 ft by 8 ft. If the altitude of the pyramid is 10…

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Q: A coned shaped pile of sawdust has a base diameter of 24 feet and if 7 feet tall. Find the volume of…

A: A coned shaped pile of sawdust has a base diameter of 24 feet and if 7 feet tall

Q: If 900 square centimeters of material is available to make a box with a square base and an open top,…

A: Volume = A×A×H Where A is surface area and H is Hight

Q: Find the area of the largest rectangular field that can be enclosed with 600 m of fencing. Assume…

A: Perimeter without one side length =600m

Q: ) Determine the area of the largest rectangle that can be inscribed in a circle of radius 4.

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Q: Find the largest volume of a rectangular box with no top made by cutting little squares out of the…

A:

Q: Find the area of the largest rectangle that fits inside a circle of radius 3

A: Given: Radius of a circle r=3

Q: Find the volume of the largest cylinder that can be inscribed in a right circular cone of radius 3…

A: Solution

Q: Find the largest possible area of a rectangle that be found in a circle whose diameter is (4).

A: The largest possible are of a rectangle that be found in a circle whose diameter is 4.

Q: A cone with a diameter of 6 centimeters and a height of 8 centimers is drilled into a wooden cube…

A: Given that diameter of cone is 6 centimeters so radius of cone  r=3 cm height of cone  h=8 cm Also,…

Q: If 1500 square centimeters of material is available to make a box with a square base and an open…

A: We can solve the given problem by using the second derivative test.

Q: If 1900 square centimeters of material is available to make a box with a square base and an open…

A:

Q: Find the dimensions of the rectangular box with the largest volume if the total surface area given…

A: It is known that the surfaces area for the rectangular box with edges is x,y and z is 2xy+yz+zx and…

Q: Find the height (in meters) of a storage tank in the shape of a right circular cylinder that has a…

A: The volume of a right circular cylinder is 72 m3. The circumference is 6 m. The formula for the…

Q: Determine the area of the largest rectangle that can be inscribed in a circle of radius 4.

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Q: If 900 square centimeters of material is available to make a box with a square base and an open top,…

A: Surface of a box which is open from the top.It is the the sum of the a2 and 4 rectangles . Let base…

Q: Find the height (in meters) of a storage tank in the shape of a right circular cylinder that has a…

A: Use formula of height of cylinder.

Q: A pressure tank has a hemispherical base surmounted by a right circular cylinder and which in turn…

A: Given data: The diameter of all 3 parts of the tank is, r=1.83 m. The altitude of cylinder is,…

Q: If 2100 square centimeters of material is available to make a box with a square base and an open…

A:

Q: A Plastic flower pot in the form of an inverted pyramid has a height of 6 inches whose four edge's…

A: Solved below

Q: A rectangular lot has an area of 1600 sq.m. Find the least amount of fence that could be used to…

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Q: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four…

A: Solution: Let x be the width of the rectangle and y the height. we can form the equation  5x +…

Q: Find the dimensions of the right circular cylinder of greatest volum that can be inscribed in a…

A: Given query is to find the dimensions of a right circular cylinder that can be fit inside a sphere…

Q: A sculptor removes a pyramid from a block of wood shaped like a square prism with the same base and…

A: Given, A sculptor removes a pyramid from a block of wood shaped like a square prism with the same…

Q: The volume of one of the Great Lakes is 3.5 x 103 cubic kilometers.  If there are 6.3 x 107 fish in…

A: Given that The volume of one of the Great Lakes is 3.5 x 10^3 cubic kilometers. And number of fish…

Q: Find the greatest volume that a right circular cylinder can have if it is inscribed in a sphere of…

A: Here we have to find the greatest volume that a right circular cylinder can have if it is inscribed…

Q: If 2300 square centimeters of material is available to make a box with a square base and an open…

A: Finding the maximum volume by differentiating the volume function

Q: Find the dimensions of a box with largest volume whose surface area is 100 cm?.

A:

Q: A farmer with 750 ft of fencing wants to enclose a rectangular region and then divide it into four…

A: Solve for the lager rectangle dimension and area of large rectangle

Q: If 1400 square centimeters of material is available to make a box with a square base and an open…

A: Explained below

Q: A closed rectangular box that would enclose 36 cubic centimeters is to have a base whose length is…

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Q: Find the largest volume of a rectangular box with no top made by cutting little squares out of the…

A:

Q: Multivariable optimization question

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Q: If 1900 square centimeters of material is available to make a box with a square base and an open…

A: In this question, we want to find the largest possible volume of the given box.

Q: If 1000 square centimeters of material is available to make a box with a square base and an open…

A: Solve for the largest possible volume

Q: Find the minimum amount of tin sheet that can be made into a closed cylinder having a volume of 108…

A: For the solution follow the next steps.

Q: Find the area of the largest rectangle that can be inscribed in a circle of radius 10 inches.

A: According to the given figure the representative diagram is shown as below. Let the length of the…

Q: If 2200 square centimeters of material is available to make a box with a square base and an open…

A: