Question

A vessel is in the form of a hollow hemisphere mounted by a hollow cylinder. Th
diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm Find this
inner surface area of the vessel.​

Answer 1

HERE ITS YOUR ANSWER
D of hemisphere = 14cm
r = 14/2 = 7cm
CSA of hemisphere = 2πr²
= 2 x 22/7 x 7 x 7 = 44x7
= 308cm²
r = 7cm
h(total) = 13cm
h(cylinder) = 13 - radius of heisphere = 13-7 = 6cm
CSA of Cylinder = 2πrh = 2 x 22/7 x 7 x 6
= 44x6 = 264cm²
Surface area of the vessel = CSA of Hemisphere + CSA of Cyclinder
= 308+264 = 572cm²
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Answer 2

Now, the given parameters are:

The diameter of the hemisphere = D = 14 cm

The radius of the hemisphere = r = 7 cm

Also, the height of the cylinder = h = (13-7) = 6 cm

And, the radius of the hollow hemisphere = 7 cm

Now, the inner surface area of the vessel = CSA of the cylindrical part + CSA of hemispherical part

(2πrh+2πr2) cm2 = 2πr(h+r) cm2

2×(22/7)×7(6+7) cm2 = 572 cm2