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 cm 3 . Check whether she is correct, taking the above as the inside measurements, and π = 3.14

Question

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 cm 3 . Check whether she is correct, taking the above as the inside measurements, and &#x3C0; = 3.14

Philoid · Accepted Answer

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

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

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