A spherical glass vessel has a cylindrical neck 8cm long,2cm in diameter,the diameter of the spherical part is 8.5cm.By measuring the amount of water It holds ,a child finds its volume to be 345cm^3.Check whether she is correct,taking the above as the inside measurements,and π =3.14? (plz give answer only if you can solve it fully, answer quickly)
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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.
_______________________
✯ @shivamsinghamrajput ✯
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.
_______________________
✯ @shivamsinghamrajput ✯
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