The total surface area of an industrial cylindrical autociave is to be limited to 20m2. If it is constructed to maximize the volume, what should be the ratio of the height to that of the radius? Based on the concept, if someone asks you for help in constructing a cylindrical tank with a top cover area of 100 cm3, accounting the minimum surface area and maximum volume, what would you recommend for its lateral area

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Q: An​ open-top cylindrical container is to have a volume 216 cm3. What dimensions​ (radius and​…

A: The objective of this question is to find the dimensions (radius and height) of an open-top…

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 250…

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Q: A cylinder has a height 15 cm with a possible error of 0.01 cm. Find the maximum possible value of…

A: To Determine: A cylinder has a height 15 cm with a possible error of 0.01 cm. Find the maximum…

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A: Find the dimensions that will minimize the surface area (and hence the cost) of a rectangular fish…

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 300…

A: Given, the volume of cup = 300 cubic centimeters. V= πr2h⇒300=πr2h⇒h = 300πr2 . . . . . . .1

Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 600…

A: The volume of the cup is The sides and the bottom cost  and the top cost

Q: about 12 ounces of fruit juice requires a volume of 113 cubic inches for its packaging. How  should…

A: Question : About 12 ounces of fruit juice requires a volume of 113 cubic inches for its packaging.…

Q: What dimensions will maximize the lateral surface area of an inverted cone, if V = 27 cm³?

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Q: A microwaveable cup-of-soup package needs to be constructed in the shape of cylinder to hold 450…

A: Given: The volume of the cylindrical cup is 450 cubic centimeters. The sides and the bottom cost…

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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.