A cylinder is a tree-dimensional figure with two parallel bases bounded by congruent circles and a curved lateral surface that connects the circles. The height, h, of a cylinder is the length of any perpendicular segment drawn from a point on the base to the plane containing the other base. A cylinder is a right cylinder if the segment joining the centers of the bases is perpendicular to the planes of the bases. Otherwise, the cylinder is oblique.
If a right cylinder has a height h and a base with radius r, then the lateral area L.A. is given by the formula: L.A. = 2(pi)(r)(h)
The surface area S.A. is given by the formula: S.A. = L.A. + 2(pi)(r^2).
Thus, the area of the cylinder's base is (pi)(r^2).
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The surface area formula for cylinders and prisms is SA = 2B + l where B is the area of your base l is your lateral area which is equal to l=ph where p is the perimeter (or circumference in your case) of the base and h is the altitude All cylinders have circular bases so the base area b = pi * r^2 where r is the radius of the circle the formula for circumference is 2*pi*r, where r is again the radius So, l = 2*pi*r*h And finally SA = 2*pi*r^2 + 2*pi*r*h This can be simplified to SA = 2*pi*r*(r+h)
v=pi.r^2h
Surface Area=4/3*pi*r2 Where r=radius Volume= 4*pi*r3 Where r=radius There are NO equations for the area or the lateral area
Volume of a CylinderThe volume of a cylinder is the product of the area of its base and its height. Because a cylinder has a circular base, the volume of a cylinder is: Pi x r squared x hwhere r is the radius of the circular base and his the height.
Suppose the radius of the sphere is R. The base of the cone is the same as the base of the hemisphere so the radius of the base of the cone is also R. The apex of the cone is on the surface of the hemisphere above the centre of the base. That is, it is at the "North pole" position. So the height of the cone is also the radius of the sphere = R. So the ratio is 1.