It depends on the shape. If it is a sphere or an ellipsoid it is relatively easy. If it is a more exotic shape, you have some serious integration to carry out. It is not clear from the question which of these problems you are trying to solve.
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The surface-area-to-volume ratio may be calculated as follows: -- Find the surface area of the shape. -- Find the volume of the shape. -- Divide the surface area by the volume. The quotient is the surface-area-to-volume ratio.
The label is placed on the curved surface area of the cylinder. Its area can be found using the formula A = 3.14dh where d is the diameter and h is the height of the can. It is rectangular in shape.
Shape of capsule: A circular cylinder with hemispheres mounted on both sides. Radius of each hemisphere is equal to the radius of cylinder. Let the length of the cylinder be h. Surface area of capsule = Curved surface area of cylinder + Curved Surface area of two hemispheres Surface area of capsule = 2 x pi x r x h + 2 x 2 x pi x r x r = 2 x pi x r x (h+2r)
Suppose you have a cone with slant height='l' and base radius 'r' and perpendicular height 'h' Curved surface area of COne=pi*r*l =pi*r*(squareroot(r2+h2))
Unless the context suggests otherwise, the two are the same. However, you may, for example, be required to find the curved surface area of a cylinder and [then] the total surface area. In that case the total surface area would include the areas of the two end faces.