Question

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

Answer 1

Dimensions of hemisphere (inner):
D=14
R=7
H=R=7
Dimestiins of cylinder (inner):
R=7
h=13-H=13-7
h=6

Inner surface area of vessel=Inner CSA of hemisphere+Inner CSA of cylinder

Inner SA=2πRh+2πR²
Inner SA=2πR(h+R)=2×22/7×7(6+7)=44(13)

Inner SA= 572 sq.unit


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