If a closed tin can of volume 16? in3 is to be in the form of a right-circular cylinder, find the height and radius if the least amount of material is to be used in its manufacture.

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Q: Suppose Hayley wants to mail a poster inside a cylindrical container. To mail a cylindrical package…

A: Surface area of cylinder=2πr2+2πrl

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Q: Consider a right circular cylinder open top tin can with volume 1000 cm?. Suppose Rand H are the…

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Q: 6. Give formulas for the volume and the surface area of acone whose height h is three times its…

A: Given: The height of  cone is three times it's radius. Formula Used: Vol of cone=13πr2hSurface…

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A: Given for a cylinderradius = 3 inheight = 9 involume = ?

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A: To find - Value of R+H.

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Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

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Q: Given a cylinder's LA (later area) of 24 and its dimensions are tripled, what is the new LA?

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A: Height =9m, Base edges=4m

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Q: Derive the formula for the volume of a sphere of radius r.

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

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Q: The volume of a right circular cone is 36 t. If its altitude is 3, find its radius.

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A: since the cones are similar so l1l2 = r1r2 the the volumes are v1=12π unit3 , v2=96π unit3 so curved…

Q: Consider a right circular cylinder open top tin can with volume 1000 cm?. suppose R and H are the…

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Q: Consider a right circular cylinder open top tin can with volume 1000 cm³. Suppose R and H are the…

A: I am going to solve the given problem by using some simple calculus to get the required result.

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Q: Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A…

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Q: The base of a solid is the unit circle x2 + y2 = 1, and its cross sections perpendicular to the…

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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.