A vessel is in the form of hemispherical bowl mounted by hollow cylinder if the cylindexical has radius of base 10.5cm l height alim, find the capacity of vessel.(plz explain step by step)
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Let the radius and height of cylinder be r cm and h cm respectively.
Diameter of the hemispherical bowl = 14 cm
∴ Radius of the hemispherical bowl =
Radius of cylinder = r=214cm=7cm
Total height of the vessel = 13 cm.
∴ Height of the cylinder, h=13 cm - 7 cm = 6 cm
Total surface area of the vessel=
2(CSA of cylinder + CSA of hemisphere)
Since, the vessel is hollow
=2(2πrh+2πr2)
=4πr(h+r)
=4×722×7×(6+7)cm2=1144cm2
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