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Find each part and show work for each cone. h = |= P = B = LA = SA = V = 16 ft | 12 ft ​

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User Tijuan
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1 Answer

5 votes

Answer:

(I assume you are referring to a cone with a height (h) of 16 feet and a radius (r) of 12 feet.)

To find the various parts of the cone, we can use the following formulas:

Radius: r = 12 feet

Height: h = 16 feet

Slant height: s = sqrt(r^2 + h^2) = sqrt(12^2 + 16^2) = 20 feet

Base circumference: C = 2πr = 2π(12) ≈ 75.4 feet

Base area: B = πr^2 ≈ 452.4 square feet

Lateral area: LA = πrs ≈ 753.9 square feet

Total surface area: SA = πr^2 + πrs ≈ 1206.3 square feet

Volume: V = (1/3)πr^2h ≈ 7238.2 cubic feet

Therefore, the various parts of the cone are:

Radius: r = 12 feet

Height: h = 16 feet

Slant height: s = 20 feet

Base circumference: C = 2πr ≈ 75.4 feet

Base area: B = πr^2 ≈ 452.4 square feet

Lateral area: LA = πrs ≈ 753.9 square feet

Total surface area: SA = πr^2 + πrs ≈ 1206.3 square feet

Volume: V = (1/3)πr^2h ≈ 7238.2 cubic feet

Note: The values for C, B, LA, SA, and V are approximations and may be rounded to the nearest tenth or hundredth depending on the required level of accuracy.

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User Masroor
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