Question

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

Answer 1

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.