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.
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.

Given,

For the chamber part, Height (h) = 8 cm and Radius (R) = (2/2) cm = 1 cm

For the circular part, Radius (r)

    \[=\text{ }\left( 8.5/2 \right)\text{ }=\text{ }4.25\text{ }cm\]

Ncert solutions class 10 chapter 13-18

Presently, volume of this vessel = Volume of chamber + Volume of circle

    \[=\text{ }\pi \times \left( 1 \right)2\times 8+\left( 4/3 \right)\pi \left( 4.25 \right)3\]

    \[=\text{ }346.51\text{ }cm3\]