a vessel is in the form of hollow hemisphere mounted by a hollow cylinder the diameter of hemisphere is 14 cm and the total height height of Vishal is 13 cm find the surface area of the vessel
Answers
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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let H be the height of the material
R be the radius of hemisphere & cylinder
D be the diameter
Let's start :
H= 13cm (given)
D= 14cm (given)
R= 14/2= 7cm
CSA of hemisphere = 2πr^2
= 2×22/7×7×7
= 44×7
= 308 cm ^2
R=7 cm
H=13 cm (given)
Height of cylinder = H - R = 6cm
CSA of cylinder = 2πrh
= 2×22/7×7×6
= 44×6
= 264cm^2
Surface area of the vessel = (308 + 264)cm^2
= 572cm^2 (ans).