Question

$\huge \fbox \red{❥ Question}$


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 cm3. Check whether she is correct, taking the above as the inside measurements, and π = 3.14.​

Answer 1

Answer:

Height (h) of cylindrical part = 8 cm

Radius (r2) of cylindrical part =2/2 =1 cm

Radius (r1) spherical part = 8.5/2 = 4.25 cm Volume of vessel = Volume of sphere + Volume of cylinder

=4/3πr³+πr²h

=4/3(8.5/2)³+π(1)²(8)

=4/3×3.14×76.765625+8×3.14

=321.3912+25.12

=346.512

=346.51cm³

Answer 2

✎Solution :

➠Radius of cylinder=1cm

➠Height of cylinder=8cm

➠Radius of sphere =8.5

➠Volume of cylinder =πr²h

➠=π×1² ×8

➠8πcm³

➠Volume of sphere =4/3 πr³

➠ 4/3 π×( 2/8.5 ) 3

➠6000/614125 πcm³

➠110.35×3.41

➠346.5cm³

So, 345cm³ is not correct.