Q6: A right triangle whose hypotenuse is v3 m long is revolved about one of its legs to generate a right circular cone. Find the radius, height, and volume of the cone of greatest volume that can be made this way?

Q: Q6: A right triangle whose hypotenuse is v3 m long is revolved about one of its legs to generate a…

A: Here we apply concepts of maximum of a function using application of derivatives. We know that to at…

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Q: A right triangle who's hypotenuse is square root 3 m long is revolved around one of its legs to…

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Q: A right triangle whose hypotenuse is 22 m long is revolved about one of its legs to generate a right…

A: topic - application of derivatives

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Q: right triangle whose hypotenuse is V3 m long is revolved about one of its legs to generate a right…

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A: Topic:- application of derivatives

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A: Let the height be x and base be y of the triangle. y is also the radius of the bottom of the cone.

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.