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30/06/2021 12:58 pm
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A spherical glass vessel has a cylindrical neck 8 cm long, 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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30/06/2021 1:01 pm
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
Volume of this vessel = Volume of cylinder + Volume of sphere
= π×(1)2 × 8 + (4/3)π(4.25)3
= 346.51 cm3