Answer:
The Cylinder with a diameter of 6 cm and height of 2 cm will hold the water
Explanation:
This problem bothers on the mensuration of solid shapes.
To describe which figures could hold water we must first calculate their volumes and compare each
the volume of the given cylinder
With diameter = 3cm
Radius = 3/2= 1.5cm
Height = 8cm
Volume of cylinder = πr²h
= 3.142*(1.5)²*8
=7.0695*8
=56.56cm³
Firstly let us calculate the volume of sphere
Given radius r= 2cm
V= 4/3πr³
V= 4/3*3.142*(2)³
V= 100.544/3
V= 33.5cm³
Since the volume is small compared to the cylinder it can't hold the water
Secondly let us calculate the volume of the cylinder
With diameter 6cm
Radius r= 6/2= 3cm
Height 2cm
Volume = πr²h
V= 3.142*3²*2
V= 56.56cm³
Since the volume compared with the cylinder is equal it can hold the water