Question

A cylinder has a volume of 198 cm^3 and its base has an area of 22 cm^3 what is the height of the cylinder?

Answer 1

The height of the cylinder is 9cm

Data

• volume = 198cm^3
• area = 22cm^2
• height of cylinder = ?

Volume of a cylinder

The formula of volume of a cylinder is given as

$v=\pi r^2h$

But it also the product of it's base area and it's height

$v = base area * height$

Let's substitute the values and solve

$198=22*h\\h = 9cm$

The height of the cylinder is 9cm

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