Volume and Surface Area of a Joined Cylinder–Cone Container
Volume and Surface Area of a Joined Cylinder–Cone Container
TGM Original
An open container is made by joining a cylinder of radius \(5\) cm and a cone of height \(12\) cm. The container is completely filled with water. If the height of the cylinder is \(9\) cm, give your answers in terms of \(\pi \), where applicable.
Find the
- volume of the water,
- length of the cone’s slant edge \(l\),
- total surface area of the container in contact with water.
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Answer:(a) \(325\pi\text{ cm}^3\) (b) \(13\text{ cm}\) (c) \(155\pi\text{ cm}^2\)
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