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.
it is class 10 maths cbse question​

Answer 1

Step-by-step explanation:

first let's find volume of cylinder part,

V = πr²h, 3.14×1×1×8, = 8π cm³ ≈ 25.cm³

V of sphere= 4/3 πr³, = 4/3 × π×4.25×4.25×4.25≈321cm³

321+25= 346 ≈ 345 cm³

She was correct

Answer 2

Answer:

No

Step-by-step explanation:

Diameter=8.5=85/10cm

Radius=85/20=17/4cm

R=17/4,r=1

Volume of vessel

=volume of sphere + volume of cylinder

=4/3(pie)R³+(pie)r²h

=(pie)[4/3×R³×r²+h]

=314/100[4/3×17/4×17/4×17/4+8]

=314/100[4913/48+8]

=314/100[4913+384/48]

=314/100×5297/48

=157/100×5297/24

=346.51

not =345