3 cm

8 cm

6 cm

Find the volume of the cylinder

To find the volume of a cylinder, you need to multiply the area of the base by the height of the cylinder.

First, calculate the area of the base. The base of a cylinder is a circle, and the formula for the area of a circle is A = πr², where r is the radius of the circle. Since the base of the cylinder has a diameter of 3 cm, the radius is half of the diameter, which is 1.5 cm. Therefore, the area of the base is:

A = π(1.5 cm)²
A = 7.07 cm² (rounded to two decimal places)

Next, multiply the area of the base by the height of the cylinder to find the volume:

Volume = (area of base) * (height)
Volume = 7.07 cm² * 8 cm
Volume = 56.56 cm³ (rounded to two decimal places)

Therefore, the volume of the cylinder is 56.56 cm³.