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What number is closest to the surface area of a cone with a slant height of 13 cm and a radius of 5cm?
To find the surface area of a cone, use the formula ( S = \pi r (r + l) ), where ( r ) is the radius and ( l ) is the slant height. Plugging in the values, we have ( S = \pi (5) (5 + 13) = \pi (5) (18) = 90\pi ). Approximating ( \pi ) as 3.14, the surface area is approximately ( 90 \times 3.14 = 282.6 ) cm². Therefore, the surface area of the cone is closest to 283 cm².
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