Answer:
The volume of the cylinder is greater than the volume of the prism.
Step-by-step explanation:
The Volume of a cylinder is given as:
= πr²h
Therefore, the volume of a cylinder with a radius of 3 units and a height of 12 units will be:
= πr²h
=3.14 × 3² × 12
=339.12
The volume of a rectangular prism with dimensions 3 units x 3 units x 12 units will be:
= Length × Width × Height
Based on the calculation, the volume of the cylinder is greater than the volume of the prism.
Answer:
B: The volume of the cylinder is smaller than the volume of the prism.
Step-by-step explanation:
In order to find the volume of the cylinder, we would use to formula [tex]\pi r^{2} h[/tex]. Substitute the given measures of the cylinder to get [tex]\pi[/tex]·3²·12. The simplified and calculated form would be 108 units cubed.
Now, we find the volume of the rectangular prism, which is [tex]l[/tex]·[tex]w[/tex]·[tex]h[/tex], or 16*16*9. This means the volume is 2304 units cubed.
Therefore, since 2304 un³>108 un³, answer choice b would be correct.
