A spherical glass vessel has a cylindrical neck 8cm long and 2cm in diameter. The diameter of the spherical part is 0.5 cm. Find the volume of water the vessel can hold
qais:
please recheck the dimension of vessel...because you have given small radius of spherical part compared to cylindrical part
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see, here radius of spherical part should be greater than cylindrical part.
considering , diameter of spherical part = 5cm
total volume = volume of spherical part + volume of cylindrical part
volume of spherical part = (4/3)π×r³
= (4/3)π×(5/2)³
= 65.42 cm³
volume of cylindrical part = π×R²×h
=π×(1²)×8
=25.12 cm³
Total volume = 65.42 +25.12
= 90.54 cm³
As we know that, 1 cm³ = 0.001 L = 1 ml
so, 90.54 cm³ = 90.54 ml
considering , diameter of spherical part = 5cm
total volume = volume of spherical part + volume of cylindrical part
volume of spherical part = (4/3)π×r³
= (4/3)π×(5/2)³
= 65.42 cm³
volume of cylindrical part = π×R²×h
=π×(1²)×8
=25.12 cm³
Total volume = 65.42 +25.12
= 90.54 cm³
As we know that, 1 cm³ = 0.001 L = 1 ml
so, 90.54 cm³ = 90.54 ml
Than you but the question says that the diameter is 0.5 cm itself
even I had the same doubt
that was why I posted the question
any way thanks☺️
but there can be error also friend
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