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Q: What is the name of the regular solid whose surface area is 4 times the radius squared?

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The surface area of the 'sphere' is four times the area of a 'great circle',or (4 pi) times the RADIUS squared.

you put: a squared over b squared = surface area of the smaller solid over surface area of the bigger solid

It has a surface area of: 4*pi*radius squared It has a volume of: 4/3*pi*radius cubed

πr2h or the radius squared multiplied by pi multiplied by the vertical height of the cylinder.

It is the surface area of the solid.

surface area

There are different formulas for different shapes, so I'll provide you with a few common ones. Cylinder Sides: Pi x diameter x height Top/bottom: Pi x radius squared Cone Sides: Pi x radius x slant Top/bottom: Pi x radius squared Sphere: Pi x radius squared x 4 Pyramid (square base) Sides: Slant x Base x 2 Top/Bottom: Base squared Rectangular Prism L x W + W x H + H x L=____x2 (Rectangular Solid)

The only regular solid with a single flat surface is a sphere. (A Mobius strip also comes to mind.)

there is no area. it is called surface area which is =2(pi)rh+2(pi)r(squared). this is the total surface are of a SOLID cylinder. for an open or hollow one it is =2(pi)rh+(pi)r(squared)

solid angle is the ratio of the intercepted area dA of the spherical surface , described about the apex O as the centre ,to square of its radius r

It is in square units: (2*pi*radius2)+(pi*radius2)

A steradian is the solid angle subtended at the centre of a sphere by radius r by a portion of the surface of the sphere which has area r2.

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