Q1: A solid carton made from a 2700 cm' of paperboard, as shown in the figure. If the carton is uncovered on top, what is the extreme volume that can be made such as this carton by h using the Lagrange method?

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Q: Q1: A solid carton made from a 2700 cm' of paperboard, as shown in the figure. If the carton is…

A: When the carton is uncovered from the top, the total surface area of the carton will be:…

Q: Q3: A rectangular container made from 54 cm? of fiberboard, as shown in the figure. If the container…

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Q: 2. The area of the parabola x2 = 4y – 4 cut through its latus rectum is revolved about the…

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Q: Q1: A solid carton made from a 2700 cm of paperboard, as shown in the figure. If the carton is…

A: We are given the Total surface  of Cardboard = 2700 cm2 Now, the carton is uncovered from the top…

Q: The hypotenuse is √7 br. a right triangle with one of its right sides rotated. Occurring How many…

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Q: A prismatoid has an upper base of 90cm^2 a lower base od 210cm^2 an altitude of 100cm, and a…

A: Given ,  A prismatoid has an upper base of 90 cm2 and lower base of 210 cm2 , altitude of 100 cm and…

Q: Q2: A wooden cubic made from 150 cm? of boarding, as shown in the figure. By using the Lagrange…

A: Since the area of wooden boarding is 150 cm2. Therefore, the sum of the area of all six faces of the…

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Q: Q1:A solid carton made from a 2700 cm' of paperboard, as shown in the figure. if the carton is…

A:

Q: 5. Give formulas for the volume and the surface area of acylinder whose radius r is half of its…

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Q: Q1: Aolid carton made from a 2700 cm' of paperboard, as shown in the figure. If the carton is…

A: Given that: Surface area of the solid carton = 2700 cm2 Find the extreme volume of the solid carton…

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Q: (b) Find the volume of the solid generated when R is rotated about the x-axis.

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Q: The volume of the solid given by tl

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Q: Q1: Aolid carton made from a 2700 cm' of paperboard, as shown in the figure. If the carton is…

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Q: 4.) Find x so that the volume of the U-shaped rectangular structure is equal to 165 cm3. 8 cm 10 cm…

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Q: Derive the equation for the volume of a sphere of radius r using the shell method.

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Q: Q2: A wooden cubic made from 150 cm' of boarding, as shown in the figure. By using the Lagrange…

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Q: Find volume if area enclosed is rotated about y= -2.

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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.