Question

Marbles of diameter 1.4 cm are dropped into a beaker containing some water and
are fully submerged. The diameter of the beaker is 7 cm. Find how many marbles
have been dropped in it if the water rises by 5.6 cm.​

Answer 1

Answer:

diameter of marble is 1.4 cm so radius will be 0.7 cm diameter of the beaker is 7 cm do radius is 3.5 cm

and the water rises by 5.6 cm so the height of the beaker is 5.6 cm

so with this information we can calculate our volume

so the volume of cylinder is πr²h = 22/7*3.5*3.5*5.6

= 216.5 cm³

so now we can compare this volume with the volume of n no. of marbles volume

216.5 cm³ = 4/3πr³*n

216.5 cm³ = 4/3*22/7*0.7*0.7*0.7*n=1.437n

216.5 cm³/1.437 cm³ = n

150 marbles ( approx ) = n