8 The diagram shows a solid cylinder on a horizontal floor. pressure=(force)/(area) The cylinder has a pi r^2h volume of 1200cm^3 height of 40 cm. The cylinder exerts a force of 90 newtons on the floor. Work out the pressure on the floor due to the cylinder.

## Step1: First, we need to find the area of the base of the cylinder. The volume of a cylinder is given by the formula , where is the volume, is the radius, and is the height. We know the volume and the height, so we can rearrange this formula to solve for (the area of the base), which gives us .## Step2: Substitute the given values into the formula. The volume is 1200 cm³ and the height is 40 cm. So, .## Step3: Calculate the value of to get the area of the base of the cylinder.## Step4: Now, we can calculate the pressure exerted by the cylinder on the floor using the formula , where is the pressure, is the force, and is the area. The force is given as 90 N and the area is the value we just calculated.## Step5: Substitute the values into the formula and calculate the pressure.