A glass of cylindrical shape has radius of 3.5cm and height equal

a-glass-of-cylindrical-shape-has-radius-of-3-5cm-and-height-equal

A glass of cylindrical shape has radius of 3.5cm and height equal to 8cm. A water jug has a volume equal to 1540cm^3. How many times the water has to be poured from glass to fill the jug completely? (Take π = \(\frac{22}{7}\))

A. 6

B. 5

C. 4.5

D. 4

I had been asked this question in semester exam.

Question is from Volume of a Cylinder in division Surface Areas and Volumes of Mathematics – Class 9

The correct choice is B. 5

Explanation: Volume of a cylindrical glass = πr^2h

= \(\frac{22}{7}\) * 3.5 * 3.5 * 8

= 308cm^3

Volume of a water jug = 1540cm^3

Therefore, number of times the water has to be poured from glass to fill the jug completely

= \(\frac{Volume \,of \,a \,water \,jug}{Volume \,of \,a \,cylindrical \,glass} = \frac{1540}{308}\)

= 5.