This paint can holds 2.5 litres. (1 litre=1000cm^3) Work out the radius of the ca n. radius=square cm [3]

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This paint can holds 2.5 litres. (1 litre=1000cm^3) Work out the radius of the ca n. radius=square cm [3]

Answer 1

First, we calculate the volume of the paint can in cubic centimeters: \(Volume_{cm^3} = 2.5 \times 1000 = 2500 cm^3\) Then, we substitute the volume into the formula to find the radius: \(r = \sqrt[3]{\frac{2500}{\pi}} \approx 7.37 cm\)

Answer 2

## Step 1: First, we need to convert the volume of the paint can from litres to cubic centimeters. Given that 1 litre equals 1000 cubic centimeters, we can calculate the volume of the paint can in cubic centimeters. ### \(Volume_{cm^3} = Volume_{litres} \times 1000\) ## Step 2: 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. In this problem, we don't know the height of the can, but we can assume that the can is a perfect cylinder, which means the height and the diameter are the same. Therefore, we can rewrite the formula as: ### \(V = \pi r^3\) ## Step 3: Now, we can solve the equation for the radius \(r\). ### \(r = \sqrt[3]{\frac{V}{\pi}}\)

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This paint can holds 2.5 litres. (1 litre=1000cm^3) Work out the radius of the ca n. radius=square cm [3]

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