Composite Solid: Cuboid with Attached Cylindrical Quadrant
Composite Solid: Cuboid with Attached Cylindrical Quadrant
Secondary 1
A solid consists of a cuboid, to which a quadrant of a cylinder is attached as shown in the diagram below. \(AE=20\) cm, \(ED=30\) cm, \(DC=20\) cm and \(CR=70\) cm.
Calculate
- the volume of the solid,
- the total surface area of the solid.
The solid prism is then moulded into a solid cylinder of radius \(30\)cm.
- Calculate the height of the cylinder.
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Answer:(a) \(64\,000\text{ cm}^3\) (3 s.f.) (b) \(11\,000\text{ cm}^2\) (3 s.f.) (c) \(22.6\text{ cm}\) (3 s.f.)
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