A right circular cone of radius 3 cm has a curved surface area of 47.1 cm2  Find the volume of the cone.

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Q: and above the region D in the ry-plane given by D = {(x, y) E R² | 0 < y < 1, y < z< Vy}.

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A: We have to explain how to find the volume of a solid with a known cross section.

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Q: Find the volume V and surface area S of a sphere of radius 3 feet.

A: Given Radius = 3 feet

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Q: A right circular cone has a lateral area of 1280π ft2 and a base area of 512π ft2. Find the volume.

A: The detailed solution is given below Thank you

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.