toy in the form of hemispherical bowl mounted by a hollow cylinder of diameter 7 cm and total height of toy is 13 cm what is a height of cylinder cal part of toy
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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=
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
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