Respuesta :

Answer:

Cylinder Q has a greater volume

Step-by-step explanation:

For this question we need to utilise the volume of a cylinder which is

→ Volume of a cylinder = π × r² × h

Let's substitute in the values and then do the analysis

Cylinder P

→ Volume of a cylinder = π × r² × h

⇒ Substitute in the values

→ Volume of a cylinder = π × 4.25² × 14

⇒ Simplify

→ Volume of a cylinder = 794.430242277

The volume of cylinder P is 794.430242277

-------------------------------------------------------------------------------------------------------

Cylinder Q

→ Volume of a cylinder = π × r² × h

⇒ Substitute in the values

→ Volume of a cylinder = π × 7² × 8.5

⇒ Simplify

→ Volume of a cylinder = 1308.47334022

The volume of cylinder Q is 1308.47334022

-------------------------------------------------------------------------------------------------------

We can see that cylinder Q has a greater volume