Volume and Surface Area of a Cone with a Hemispherical Cavity
Volume and Surface Area of a Cone with a Hemispherical Cavity
Secondary 2
The diagram below shows a cone of radius \(7\) cm with a hemisphere cut out of it. Given that the slant height of the cone is \(14\) cm and the shaded area of the base is \(125.68\) cm\(^{2}\), find
- the radius of the hemisphere \(OD\),
- the volume of the object,
- the surface area of the object.
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Answer:(a) \(3.00\text{ cm}\) (b) \(566\text{ cm}^3\) (c) \(490\text{ cm}^2\)
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