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7 Find the area of the curved surface for the following cones. Answer correct to the nearest whole number. a Cone with a radius of 9 cm and a slant height of 14 cm b Cone with a radius of 7.4 cm and a slant height of 11.5 cm

Ask by Craig Stanley. in Australia
Mar 19,2025

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The curved surface area for the cones is: a) 396 cm² b) 267 cm²

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To find the curved surface area (CSA) of a cone, you can use the formula: \(\text{CSA} = \pi r l\), where \(r\) is the radius and \(l\) is the slant height. For the first cone: a. \(r = 9 \text{ cm}\), \(l = 14 \text{ cm}\) \[ \text{CSA} = \pi \times 9 \times 14 \approx 3.14 \times 9 \times 14 \approx 396.9 \text{ cm}^2 \approx 397 \text{ cm}^2 \] For the second cone: b. \(r = 7.4 \text{ cm}\), \(l = 11.5 \text{ cm}\) \[ \text{CSA} = \pi \times 7.4 \times 11.5 \approx 3.14 \times 7.4 \times 11.5 \approx 267.29 \text{ cm}^2 \approx 267 \text{ cm}^2 \] So, the curved surface areas are approximately 397 cm² for the first cone and 267 cm² for the second cone.

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