A 5.4-cm-diameter cylinder has a length of 12.5 cm. What is the c...

Question

A 5.4-cm-diameter cylinder has a length of 12.5 cm. What is the cylinder's volume in basic SI units?

Accepted Answer

Welcome back everybody. We are making observations about a cylinder and we are told that it has a diameter of 6.3 centimeters and a length of 14.4 centimeters. And we are tasked with finding what the volume is in standard international units. Now, what are standard international unit is going to be in this case? Well if we're looking at volume, we are going to need to find an answer in terms of meters cubed. First and foremost. Let's look at the equation for the volume of a cylinder we have that this is equal to pi times the radius squared times the height. Now in this case we're going to substitute the length for the height so that is all good to go. But what about this radius term? Well, we know that the radius is just equal to the diameter divided by two. So let's go ahead and do that. We have a diameter of 6.3 centimeters and divided by two, gives us 3.15 centimeters. So now we are ready to go ahead and find our volume here. So volume is equal to pi times 3. squared times r length or height of 14. Giving us approximately cm cubed. But remember we need a final answer in terms ofm cubed. So here's how we're going to convert this here. We are going to write this Over here and we know that there are 100 cm in one m. What I'm gonna do is I'm going to Cube both the top and bottom. And you'll see that this unit will cancel out right here and then we are left with our desired unit of meters cubed. When you plug this into your calculator and multiply straight across, you get that this is equal to 449 times 10 to the negative six m cubed, corresponding to our final answer choice of a thank you all so much for watching. Hope this video helped. We will see you all in the next one.

A 5.4-cm-diameter cylinder has a length of 12.5 cm. What is the cylinder's volume in basic SI units?

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