Surface Area of Composite Figures
Surface Area of Composite Figures
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.
|
A storage tank consists of a circular cylinder, with a hemisphere adjoined on either end. If the external diameter of the cylinder be 1.4 m and its length be 5m, what will be the cost of painting it on the outside at the rate of Rs 10 per square meter?
| |||
| Right Option : A | |||
| View Explanation | |||
A storage tank consists of circular cylinder with a hemisphere adjoining at either end. If the diameter of the cylinder be 1.4 m and its length be 8 m, the cost of painting it on the outside at the rate of Rs 10 per m2 will be _______________ | |||
| Right Option : A | |||
| View Explanation | |||
A cylinder is of height 31 cm and base radius 7 cm. A hemisphere of radius equal to base radius of cylinder is cut off from one end radius of cylinder is cut off from one end a cone of maximum height from remaining part is also cut off. The curved surface area of the remaining part is ______________ | |||
| Right Option : A | |||
| View Explanation | |||
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