A spherical glass vessel has a cylindrical neck 8 cm long, and 2 cm in diameter; the diameter of the spherical part is 8.5 cm. By measuring the amount of water it holds, a child finds its volume to be 345 cm³. Check whether she is correct, taking the above as the inside measurements, and π = 3.14.

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Detailed Solution

For the cylinder part, Height (h) = 8 cm and Radius (R) = (2/2) cm = 1 cm

For the spherical part, Radius (r) = (8.5/2) = 4.25 cm

NCERT Solutions - Mathematics , Class 10 chapter Surface Areas and Volumes Question 8 Solution image

Now, volume of this vessel = Volume of cylinder + Volume of sphere

= π×(1)²×8+(4/3)π(4.25)³

=346.51cm³

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