What are the dimensions of the lightest open-top right circular cylindrical can that will hold a volume of 1000 cm3?

Q: Find the height of a right circular cylinder of maximum volume, which can be inscribe in a sphere od…

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

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Q: What are the dimensions of the lightest open-top right circular can that will hold a volume of…

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Q: A right circular cylinder with an altitude of 40cm and base diameter of 30cm has a right circular…

A: Recall:  Lateral are of cone, AL=πrl We have, l=60cm, diameter=30 cm, radius, r=15 cm

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

A: As per bartleby guidelines, for more than one questions, first one needs to be solved. The diagram…

Q: 3. What is the volume if a cylindrical tank whose lateral surface area is 15.8 m² and whose base…

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Q: Find the dimensions of a cylindrical can with a volume of 666 in^3 that minimizes the surface area.…

A: To find the dimensions of a cylindrical can with a volume of 666 in3 that minimizes the surface…

Q: A solid of sphere of radius 15 cm melted and recast into solid right cones,each of radius 2.5 cm and…

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Q: A sphere has a diameter of 12 m. Find its volume using π = 3.14 as an approximation.

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Q: A truncated hexagonal right prism has an average lateral edge of 24 cm. What is the volume of the…

A: Given, A truncated hexagonal right prism has an average lateral edge of 24 cm. We have to find a the…

Q: what are the dimensions of the right hexagonal prism of minimum surface whose volume is 36 cubic…

A: This is a problem of optimization.

Q: Find the dimensions of a cylindrical can with a bottom but no top of volume 4 m3 that uses the least…

A: To Find: Dimension of a cylindrical can with a bottom but no top of volume 4 m3that uses the least…

Q: 3. What are the dimensions of the closed cylindrical can that has surface area 280 square…

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Q: 8. What is the area in square meters of the zone of a spherical segment having a volume of 1470.265…

A: given diameter of sphere=30mmtherefore radius will be=30/2=15r=15 mmwe know area of sphere=4πr2

Q: A welder decides to make a pyramid out of flat steel. The height of the pyramid is to be 3.0 ft and…

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Q: What is the surface area of a rectangular solid (also called a right rectangular prism) whose height…

A: Here we have a rectangular solid. Rectangular solid is also known as Right rectangular prism. We…

Q: Find the radius and height of a right circular cylindrical can with both a top and a bottom that…

A: First we need to obtain an expression for the Total Surface Area of the can as a function of single…

Q: A solid iron rectangular block of dimensions 4.4 m,2.6 m and 1m is cast into hollow cylindrical pipe…

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Q: A closed right circular cylindrical tank is to have a capacity of 128??3. Find the dimensions of the…

A: Volume of cylindrical tank is 128π m3.

Q: 6. Marcus is constructing a rectangular pricm using exactly 96 cm² of cardboard. will have the…

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Q: What are the dimensions of an open-top right circular cylindrical can that will hold a volume of 512…

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Q: Find the largest volume of a right cylinder that can be inscribed in a sphere of radius 12

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Q: A rectangular piece of sheet metal with an area of 1200 in2 is to be bent into a cylindrical length…

A: suppose that the length of the rectangular piece of sheet metal is y and the width is x so its area…

Q: Determine the dimensions of a rectangular solid (with a square base) with maximum volume if its…

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Q: A vessel in the shape of a cone, whose internal diameter is 24 cm and height is 50 cm, is full of…

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Q: Find the height of a circular cylinder of max. volume that can be cut from a spherical wood of…

A: using double derivative test to find out height when cylinder volume would be maximum.

Q: Find the volume of the largest right circular cone that can be inscribed in a sphere of radius 44.

A: Given:

Q: Find the height of a right circular cylinder of maximum volume, which can be inscribe in a sphere of…

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Q: From a solid cube of side 7 cm , a conical cavity of height 7 cm and radius 3 cm is hollowed out…

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Q: If a cone has a radius of 5 and a height of 12. What is it’s volume ?

A: Given radius of cone(r)=5Height of cone (h)=12We know that volume of cone is πr2h3

Q: Show that it is not possible to design a cylindrical can (with top and bottom) of volume 400 cubic…

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Q: Calculate the volume of a water cylinder with total height of 10 meters, diameter of 400…

A: Radius of cylinder = Radius of Hemisphere = R = Diameter2 = 4002 = 200 cmTotal Height of container =…

Q: A spherical balloon is being inflated. Given that the volume of a sphere in terms of its radius is

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Q: A pharmaceutical company wants to manufacture cylindrical aluminum cans with a volume of 1000 cm3 (1…

A: Since we know that, Surface area of cylinder, S=2πrh+2πr2      ...(1) And volume of cylinder, V=πr2h…

Q: Find the dimensions of the largest box with a square base that can be cut from a solid sphere of…

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Q: Find the radius and height of a cylindrical soda can with a volume of 354 cm3 that minimize the…

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Q: What is the surface area of a right circular cylinder whose base's radius is 14.3, and height is…

A: We have to find the surface area

Q: What are the dimensions of the lightest open top right circular cylindrical can that will hold the…

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Q: A company manufactures plastic buckets that are shaped like cylinders without a lid. WHich will cost…

A: It is given that the bucket manufactured by the company are cylindrical in shape without a lid…

Q: A trough, 10 ft long, has semi-elliptical ends which are 3 feet deep and 4 feet wide. If the trough…

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Q: A regular pentagonal prism with base perimeter of 20 cm and height of 10 cm is made of wax. If it is…

A: Given that: A pentagonal prism with perimeter=20cmHeight=10 cm

Q: What is the difference in volume between a sphere with radius rr and a sphere with radius 0.3r0.3r?

A: Given query is to find the difference in the volume.

Q: Suppose a 4-m cylindrical bar has a constant density of 5 g/cm for its left half and a constant…

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Q: A cylindrical tank with radius 0.75 meters and height 1.5 meters is to be filled with water. If a If…

A: Given: The radius of the cylindrical tank (r)=0.75 meters The height of the cylindrical tank (h)=…

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

A: Given that: A sphere of radius 10 in.

Q: . A cone with radius 9 and slant height 15 has volume ___and lateral area____?

A: to find the volume and lateral area.

Q: A heavy metal sphere with radius 10cm is dropped into a right circular cylinder with base radius of…

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Q: Find the dimensions of the right cylinder with largest volume that can be inscribed in a sphere with…

A: We have to find the dimensions of cylinder.

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.