Question

a vessel is in the form of a hollow hemisphere mounted by a hollow cylinder the diameter of the hemisphere is 14 cm and the total height of The vessel is 13 cm find the inner surface area of the vessel​

Answer 1

Answer:

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Answer 2

Given: Diameter of the hemisphere = 14cm ∴ Radius of the hemisphere = 14/2 = 7 cm Curved Surface Area of Hemisphere = 2πr2 = 2 x 22/7 x 7 x 7 = 308cm2 Now, Radius of cylinder = radius of hemisphere = 7cm Height of cylinder = Total height – Radius of hemisphere = 13 – 7 = 6cm So, CSA of cylinder = 2πrh = 2 x 22/7 x 7 x 6 = 264cm2

The inner Surface area of the vessel = CSA of hemisphere + CSA of cylinder = 308 + 264 = 572cm2 Hence, Inner surface area of vessel is 572cm2.