Hi

MY question is if a cylinder has a volume of 72cm cubed and a cross-sectional area of 18cm squared. Work out the height of the cylinder

Can someone show me how we do it by the steps

The volume of a cylinder is given by

volume = (cross-sectional area) x height

so height = volume/(cross-sectional area)

does this help?

Yes, your approach is correct. To find the height of the cylinder, you need to divide its volume by the cross-sectional area.

Let's use the formula:

height = volume / cross-sectional area

Given:
Volume = 72 cm³
Cross-sectional area = 18 cm²

Substituting the given values into the formula:

height = 72 cm³ / 18 cm²

To divide the volume by the cross-sectional area, we can simplify the division by canceling out the common unit, which is cm².

height = 72 / 18 cm

Now we can simplify the division:

height = 4 cm

Therefore, the height of the cylinder is 4 cm.