a vessel is in the form of a hemispherical bowl mounted by a hollow cylinder. the diameter of the hemisphere is 14 cm and the total height of the vessel is 13 cm find the capacity of the vessel
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R of hemi=7cm
V.of hemi=2/3×22/7×7×7×7
R of cylinder =7cm
H of solid =13 cm
H of cylinder = (13-7)cm
=6cm
V.of cylinder=22/7×7×7×6
Total volume of solid=
V.of hemisphere + v.of cylinder
=2/3×22/7×343 + 22/7×49×6
=22/7(2/3×343 + 49×6)
=22/7 (686/3 + 294)
=22/7 (882 + 686/3)
=22/7 × 1568/3
=22×224/3
=4928/3
=1642.6666cm^3
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