A vessel is in the form of hemispherical bowl surmounted by a hollow cylinder of same diameter. the diameter of the hemispherical bowl is 12 cm and the total height of the vessel is 16 cm. find the total capacity of the vessel and the tsa
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Step-by-step explanation:
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=
2
14
cm=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+2πr
2
)
=4πr(h+r)
=4×
7
22
×7×(6+7)cm
2
=1144cm
2
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