H=215t-16t2 - Gauthmath

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Question

These paperweights are mathematically similar. Work out the curved surface area of the larger paperweight. If your answer is a decimal, give it to 1 d.p. y Q ZoomSHOW LESS0

Solution

544.1 cm².

Step 1: Determine the scale factor for the area by dividing the base area of the larger paperweight by the base area of the smaller paperweight: 215/28 = 7.68. Step 2: Take the square root of the area scale factor to find the linear scale factor: √7.68 ≈ 2.77. Step 3: Multiply the curved surface area of the smaller paperweight (72 cm²) by the square of the linear scale factor to find the curved surface area of the larger paperweight: 72 * (2.77)^2 ≈ 544.1 cm².

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