A right triangle whose hypotenuse is 15 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.

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A: Given data is : Hypotenuse is 3 m To find the radius, height, and the volume of a cone of greatest…

Q: A cylinder with a radius of 3 and a height that is 5 times the radius.

A: Radius = 3 , Height =3×5= 15Lateral surface area is thre area of sides excluding area of the…

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A: Solve by using formula of Volume of cone.

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A: →Volume of sphere is given by,                                                 V = 43π r3

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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.