NCERT Solution Class X Mathematics Surface Areas and Volumes Question 8 (Ex 13.2)

Question 8:

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.

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

Hence, she is wrong.

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