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Surface area of Composite Figures:
Example: A solid wooden toy is in the shape of a right circular cone mounted on a hemisphere. If the radius of the hemisphere is 4.2 cm and the total height of the toy is 10.2 cm, find the volume of the wooden toy. | ![]() |
Solution: Let r be the radius of the hemisphere and h be the height of the conical part of the toy. Then, r = 4.2 cm, height of cone = (10.2 - 4.2) cm = 6 cm. Also, radius of the base of the cone = 4.2 cm
Surface Area of Composite Figure = CSA of cone + CSA of hemisphere = =
=
=
Composite Figures |
A figure (or shape) that can be divided into more than one of the basic figures is said to be a composite figure (or shape). For example, figure ABCD is a composite figure as it consists of two basic figures. That is, a figure is formed by a rectangle and triangle as shown below. The area of a composite figure is calculated by dividing the composite figure into basic figures and then using the relevant area formula for each basic figure. Example:- Find the area of the following composite figure: Solution: The figure can be divided into a rectangle and triangle as shown below. So, the area of the composite figure is 216 cm2.
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