A rectangular tank with a square base, an open top, and a volume of 16,384 ft° is to be constructed of sheet steel. Find the dimensions of the tank that has the minimum surface area.

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

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

Q: A rectangular tank with a square base, an open top, and a volume of 27,436 ft is to be constructed…

A: Given: - A rectangular tank with a square base, an open-top, and a volume of 27436ft3 is to be…

Q: Determine the dimension of a rectanglular solid with a square base with a maximum volume of its…

A: Volume V=x2y Surface area=2x2+4xy

Q: A rectangular piece of cardboard has a size of 45 x 24 cm. This cardboard will be made into a box…

A:

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…

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

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

Q: 7. Determine the minimum surface area required to enclose 280cm in a cylinder:

A: It is given that, Volume of cylinder, V=280 cm3   It is known that, volume of cylinder is, V=πr2h…

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.