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
Given:
Height (h) of cylindrical part = 8 cm
Radius (r2) of cylindrical part =
= 1 cm
Radius (r1) spherical part =
= 4.25 cm
Volume of vessel = Volume of sphere + Volume of cylinder
=
r13 + πr22h
=
(
)3 + π (1)2 (8)
=
* 3.14 * 76.765625 + 8 * 3.14
= 321.392 + 25.12
= 346.512
= 346.51 cm3
Hence,
From the result we can conclude that she is wrong