Question

A cylindrical aluminium container of height 12cm has an inner diameter of 14cm and outer diameter of 15cm calculate the volume of metal used for the container

Answer 1

To find the volume of metal used for the container, we need to subtract the volume of the inner cylinder from the volume of the outer cylinder.

The volume of a cylinder can be calculated using the formula V = πr^2h, where r is the radius and h is the height.

First, let's calculate the radius of the inner cylinder:
Radius = inner diameter / 2 = 14cm / 2 = 7cm

Next, let's calculate the volume of the inner cylinder:
Volume_inner = π * (7cm)^2 * 12cm

Now, let's calculate the radius of the outer cylinder:
Radius = outer diameter / 2 = 15cm / 2 = 7.5cm

Next, let's calculate the volume of the outer cylinder:
Volume_outer = π * (7.5cm)^2 * 12cm

Finally, let's calculate the volume of metal used for the container by subtracting the volume of the inner cylinder from the volume of the outer cylinder:
Volume_metal = Volume_outer - Volume_inner