A tool is made up of a cone on top of a cylinder as shown in the figure below. The cylinder has a height of 15 cm and a radius of 5 cm. The volume of the cone is \[100\,\pi \,c{{m}^{3}}\]. If O is the vertex of the cone and AB is the diameter of the base of the cone and C is its centre. Points O, A, B and C are in the same plane. Calculate the lateral surface area of the tool.

A tool is made up of a cone on top of a cylinder as shown in the figur

1.	A tool is made up of a cone on top of a cylinder as shown in the figure below. The cylinder has a height of 15 cm and a radius of 5 cm. The volume of the cone is \[100\,\pi \,c{{m}^{3}}\]. If O is the vertex of the cone and AB is the diameter of the base of the cone and C is its centre. Points O, A, B and C are in the same plane. Calculate the lateral surface area of the tool.
A.	\[675.714\,c{{m}^{2}}\]
B.	\[685.4\,c{{m}^{2}}\]
C.	\[695.4\,c{{m}^{2}}\]
D.	\[775.4\,c{{m}^{2}}\]
E.	None of these
Answer» B. \[685.4\,c{{m}^{2}}\]

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