S2 Areas and Volumes II Volume

Question

In the figure, a cylindrical container of base radius 3cm is filled with water. A stone with volume 133cm³ is put into the container and it is totally submerged. Suppose there is no water overflow, find the rise in water level.

(Give your answer correct to 3 significant figures)

If you (the teacher) doesn’t know it

the answer is 4.70cm

please write the steps step by step accurately

thanks.

Answer 1

133 = pi(r^2)h

= pi(3^2)h

= 9pi(h)

= volume of the stone

h= 133/9pi pi=about 3.141593

= about 133/9(3.141593)

use a calculator

= about 4.703912244

= height of the stone's volume

= the rise in water level

rise in water level = about 4.70 cm,

rounded off to 2 decimal places or to 3 digits