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A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter; the diameter o the spherical part is 8.5 cm. - Mathematics

A spherical glass vessel has a cylindrical neck 8 cm long, 2 cm in diameter; the diameter o 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

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Solution

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

`4/3pir_1^3+pir_2^2h`

`= 4/3pi(8.5/2)^3 +pi(1)^2(8)`

`= 4/3xx3.14xx76.765625 + 8 xx 3.14`

= 321.392 + 25.12

= 3346.512

=346.51 cm3

Hence, she is wrong.

  Is there an error in this question or solution?
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APPEARS IN

NCERT Class 10 Maths
Chapter 13 Surface Areas and Volumes
Exercise 13.2 | Q 8 | Page 248
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