A vessel in the form of the hemispherical bowl mounted by a hollow cylinder. The diameter of the sphere is 14 cm and the total height of the vessel is 13 cm. Find its capacity in mililitre.
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Answer:
Let r be the radius of the hemispherical bowl and h be the height of the cylinder.
Then, r=7cm and h=6cm
Total capacity of the bowl
= volume of the cylinder + volume of the hemisphere
=(πr
2
h+
3
2
πr
3
)cm
3
=πr
2
(h+
3
2
r)cm
3
=
7
22
×7
2
×(6+
3
2
×7)cm
3
=1642.66cm
3
solution
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