Question

Q-8) 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 cm². Check whether she is correct, taking the above as the inside measurements, and π = 3.14 .​

Answer 1

Solution

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Correct option is B)

Radius of cylinder=1cm

Height of cylinder=8cm

Radius of sphere =8.5

Volume of cylinder =πr

2

h

=π×1

2

×8

=8πcm

3

Volume of sphere =

3

4

πr

3

=

3

4

π×(

2

8.5

)

3

=

6000

614125

πcm

3

∴ total Volume =(

6000

614125

+8)π

=(

6000

614125+48000

)π

=

6000

662125

π

=110.35×3.41

=346.5cm

3

So, 345cm

3

is not correct.

solution

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Answer 2

Answer:

345cm³  is not correct.

Step-by-step explanation:

Radius of cylinder = 1cm  

Height of cylinder = 8cm  

Radius of sphere  = 8.5cm

Volume of cylinder =  πr²h

                               =   π × 1² × 8

                               =  8πcm³

Volume of sphere =   4/3 πr³

                              =  4/3 π  × ( 8.5/2 )³

                              = $\frac{614125}{6000}$  πcm³

∴ Total Volume = $( \frac{614125}{6000} +8 )$ π

                          = $(\frac{614125 + 48000}{6000} )$ π

                          = $\frac{662125}{6000}$ π

                          =110.35 × 3.41   ---- (π = 3.14)  

                          =346.5cm³

 

So, 345cm³  is not correct.