Question
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Cylinder SA: \( 2 \times \pi \times भ^{2} \times 2 \pi \times 1 \times 3.5 \) \( = \)

Ask by Mullins Hamilton. in Indonesia
Mar 11,2025

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Tutor-Verified Answer

Answer

The surface area of the cylinder is \( 14\pi^{2}r^{2} \).

Solution

Calculate or simplify the expression \( 2 \times \pi \times r^{2} \times 2 \times \pi \times 1 \times 3.5 \). Simplify the expression by following steps: - step0: Solution: \(2\pi r^{2}\times 2\pi \times 1\times 3.5\) - step1: Rewrite the expression: \(2\pi r^{2}\times 2\pi \times 3.5\) - step2: Multiply the terms: \(14\pi r^{2}\pi \) - step3: Multiply the terms: \(14\pi ^{2}r^{2}\) The surface area of the cylinder is given by the formula \( 2 \times \pi \times r^{2} \times 2 \times \pi \times 1 \times 3.5 \), which simplifies to \( 14\pi^{2}r^{2} \).

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Beyond the Answer

To find the surface area (SA) of a cylinder, you usually use the formula \( SA = 2\pi rh + 2\pi r^2 \) where \( r \) is the radius and \( h \) is the height. However, it looks like you've written an equation that seems to contain some extra elements. Based on your equation, this could use clarification on the values for \( r \) and \( h \). Have fun playing around with numbers! You can visualize it with a can or a water bottle; everything around us can be a practical teaching point for these math concepts. Try measuring and calculating the surface area of different cylindrical objects you find at home!

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