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 = cm

Radius (r₁) spherical part =

Volume of vessel = Volume of sphere + Volume of cylinder

Hence, she is wrong.

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Question 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 $c m^{3}$ . Check whether she is correct, taking the above as the inside measurements, and $π = 3.14$ .

Q. A spherical glass vessel has a cylindrical neck

7 c m

long and

4 c m

in diameter. The diameter of the spherical part is

21 c m

. Find the quantity of water it can hold. [Use

π = 22 / 7.

]

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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. 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.

Height (h) of cylindrical part = 8 cm Radius (r2) of cylindrical part = cm Radius (r1) spherical part = Volume of vessel = Volume of sphere + Volume of cylinder Hence, she is wrong.

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.

Height (h) of cylindrical part = 8 cm

Radius (r₂) of cylindrical part = cm

Radius (r₁) spherical part =

Volume of vessel = Volume of sphere + Volume of cylinder

Hence, she is wrong.