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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.

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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.

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.

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SionedMaster · Tutor for 5 years

Answer

After performing the above steps, we get the final answer as the pressure exerted by the cylinder on the floor.

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## Step1: <br />First, we need to find the area of the base of the cylinder. The volume of a cylinder is given by the formula \(V = \pi r^2 h\), where \(V\) is the volume, \(r\) is the radius, and \(h\) is the height. We know the volume and the height, so we can rearrange this formula to solve for \(r^2\) (the area of the base), which gives us \(r^2 = \frac{V}{\pi h}\).<br /><br />## Step2: <br />Substitute the given values into the formula. The volume \(V\) is 1200 cm³ and the height \(h\) is 40 cm. So, \(r^2 = \frac{1200}{\pi \times 40}\).<br /><br />## Step3: <br />Calculate the value of \(r^2\) to get the area of the base of the cylinder.<br /><br />## Step4: <br />Now, we can calculate the pressure exerted by the cylinder on the floor using the formula \(P = \frac{F}{A}\), where \(P\) is the pressure, \(F\) is the force, and \(A\) is the area. The force \(F\) is given as 90 N and the area \(A\) is the value we just calculated.<br /><br />## Step5: <br />Substitute the values into the formula and calculate the pressure.
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