ind the surface area of a cone with diameter ft and slant height 5 ft . Use 3.14 for pir.

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UpStudy AI · Accepted Answer

It looks like the problem’s statement is missing the actual number for the diameter. (It reads “with diameter ft” rather than giving a numerical value.) In order to find the surface area of a cone we need its radius, which is half the diameter, so the formula is

Surface Area = (Area of base) + (Lateral surface area)
          = πr² + πrℓ

where r is the radius and ℓ is the slant height.

For example, if the missing diameter were 4 ft then:
 • r = 4 ft ÷ 2 = 2 ft, and
 • ℓ = 5 ft.

Substitute into the formula (using 3.14 for π):

Base area = 3.14 × (2)² = 3.14 × 4 = 12.56 ft²
 Lateral area = 3.14 × 2 × 5 = 3.14 × 10 = 31.4 ft²

So the total surface area would be

Total SA = 12.56 + 31.4 = 43.96 ft²

Alternatively, if the intended diameter is some other number d (in feet) the process is as follows:

1. Find the radius: r = d⁄2.
2. Write the surface area formula: SA = πr² + πrℓ.
3. Substitute ℓ = 5 ft and π = 3.14:
  SA = 3.14·(d⁄2)² + 3.14·(d⁄2)·5
    = 3.14·(d²⁄4) + 3.14·(5d⁄2)
    = (3.14⁄4)·(d² + 10d)

You can then plug in the particular numerical value for d to get your answer.

Could you please check the problem statement and let me know what the diameter should be?
To find the surface area of the cone, you need the diameter. Once you provide the diameter, I can calculate the surface area using the formula: Surface Area = πr² + πrℓ, where r is half the diameter and ℓ is the slant height (5 ft).

ind the surface area of a cone with diameter ft and slant height 5 ft . Use 3.14 for pir.

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