**Q) The inner and outer radii of a hollow cylinder surmounted on a hollow hemisphere of same radii are 3 cm and 4 cm respectively. If height of the cylinder is 14 cm, then find its total surface area (inner and outer).**

**Ans: **Let’s draw a diagram to better understand the question:

Here, in this question, it is given that:

Outer radii (of sphere and cylinder), R_{1} = 4 cm

Inner radii (of sphere and cylinder), R_{2} = 3 cm

Height of cylinder, H = 14 cm

Total surface area = Outer Surface Area of Cylinder + Outer Surface Area of Hemisphere + Surface Area of Circular Ring at the top + Inner Surface Area of Cylinder + Inner Surface Area of Hemisphere

=

=

=

= =

= 253 x = = 795.14 cm^{2}

**Therefore, the total surface area (inner and outer) of the shape is 795.14 cm ^{2}**

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