Mensuration (Pyramid, Cones and Spheres) - Volume and Surface Area of Composite Solids

Mensuration (Pyramid, Cones and Spheres) - Volume and Surface Area of Composite Solids

IP 2
4 marks

The diagram shows a solid formed by removing a cone from a cylinder.

The cylinder and the cone have a common radius of \(7\text{ cm}\). The height of the cone is \(9\text{ cm}\) and the height of the cylinder is \(15\text{ cm}\). Calculate the total surface area of the solid.[4]

Solution:

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Answer:\(\pi(259+7\sqrt{130})\text{ cm}^2\), approximately \(1.06\times10^3\text{ cm}^2\) (3 s.f.).

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