Class 10 Maths Surface Areas Volumes Volume of Combination of Solids

Volume of Combination of Solids

As seen, we can easily break a complex solid into basic solids.

Volume of the complex solid is the sum of the volume of each of the individual basic parts. It may be noted that in calculating the surface area, we have not added the surface areas of the two constituents, because some part of the surface area disappeared in the process of joining them. However, this will not be the case when we calculate the volume. The volume of the solid formed by joining two basic solids will actually be the sum of the volumes of the constituents.

Numerical: Find volume of  a spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter; diameter Of spherical part is 8.5 cm.

Volume of Object = Volume of Sphere + Volume of Cylinder

= 4/3 πr3 + πr2h

= 4/3 * 22/7 * (8.5)3 + 22/7 * (1)2 * 8  cm3

= 346.5 cm3

 

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