Finding the Volume. Convert inches to Cubic Centimeters. Check my work.

Question

Diameter of Cylinder is 5.76 in

Height of Cylinder is 9.46 in

What is the Volume of Cylinder in Cubic Centimeters?

How can I put this into Dimensional Analysis? Do I have to, or does it convert automatically after you Multiply by (pie) and the Height?

I squared the Radius after finding it by Dividing the Diameter (5.76in) by 2.

I got 2.88in^2
Next I did V = (2.88in^2) x (9.46in)

V = (pi) x (8.2944) x (9.46)

V = 246.5 cm^3

Is this correct or do I still need to convert from inches to Cubic Centimeters?

Answer 1

Looking for Clarification.

Answer 2

Looks like you didn’t convert from inches. It’ll be easiest to convert the height and diameter/radius to cm first, then apply the formula for volume.

Answer 3

You'll need 2.54 cm/1 in * 2.54 cm/1 in * 2.54 cm/1 in as part of converting cubic inches to cm^3