3 years ago

What is the surface area of a cone with a slant height of 12.5m and a diameter of 9m? Round to the nearest whole number.

Mathematics

1 answer:

notka56 [123]3 years ago

3 0

9514 1404 393

Answer:

240 m²

Step-by-step explanation:

The lateral surface area is given by the formula ...

LA = πrs . . . . . cone with radius r and slant height s

The base area is given by the formula ...

BA = πr²

The total surface area is the sum of these:

SA = BA +LA = πr² +πrs = πr(r+s)

The radius is half the diameter, so is 9m/2 = 4.5 m. Then the surface area is ...

SA = π(4.5 m)(4.5 m +12.5 m) = 76.5π m² ≈ 240 m²

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