Question

5. 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'. Check whether she is correct, taking the above as the inside measurements, and t=3.14.​

Answer 1

Answer:

Step-by-step explanation:

Solutions :-

Given :

Height of cylinder = 8 cm

Radius of cylinder = 2/2 = 1 cm

Radius of sphere = 8.5/2 = 4.25 cm

Find the volume of cylinder :-

Volume = πr²h cu. unit

= 3.14 × 1² × 8 cm³

= 25.12 cm³

Now,

Find the volume of sphere :-

Volume = 4/3πr³ cu. unit

= 4/3 × 3.14 × (4.25)³ cm³

= 321.39 cm³ (approx)

Find the total volume :-

= Volume of cylinder + volume of sphere

= (25.12 + 321.39) cm³

= 346.51 cm³

Hence,

Volume obtained by child is incorrect.