Questions: Find the surface area for each solid. Round to the nearest tenth, if necessary.

Find the surface area for each solid. Round to the nearest tenth, if necessary.
Transcript text: Find the surface area for each solid. Round to the nearest tenth, if necessary.
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Solution

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Solution Steps

Step 1: Formula for the surface area of a cone

The surface area of a cone is given by the formula: SA = πr² + πrl, where r is the radius of the base and l is the slant height.

Step 2: Identify the given values

From the diagram, we can see that the radius, r = 3 in and the slant height, l = 6 in.

Step 3: Substitute values into the formula and calculate

Substituting these values into the formula:

SA = π(3)² + π(3)(6) SA = 9π + 18π SA = 27π

Step 4: Calculate the final answer and round to the nearest tenth

SA ≈ 84.823 Rounding to the nearest tenth gives 84.8 in².

Final Answer:

The surface area of the cone is approximately 84.8 in².

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