Question

A cylinder with diameter 3 cm and height 8 cm is filled with water. Decide which figures described here, if either, could hold all of the water from the cylinder. Explain your reasoning. 1. Sphere with a radius of 2 cm. 2. Cylinder with a diameter of 6 cm and height of 2 cm
I really need help with this.

Answer 1

Answer:

The Cylinder with a diameter of 6 cm and height of 2 cm will hold the water

Step-by-step 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