Questions: Find the surface area and the volume of the cylinder. Use 3.14 for π. Surface area = (Round to the nearest

Find the surface area and the volume of the cylinder. Use 3.14 for π. Surface area = (Round to the nearest
Transcript text: Find the surface area and the volume of the cylinder. Use 3.14 for $\pi$. Surface area = $\square$ $\square$ (Round to the neare
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Solution

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Solution Steps

Step 1: Calculate the area of the two circular bases

The radius of the cylinder is 9 cm and the height is 7 cm. The area of one circular base is π * r^2 = 3.14 * 9^2 = 3.14 * 81 = 254.34 cm². Since there are two bases, the total area of the bases is 2 * 254.34 = 508.68 cm².

Step 2: Calculate the lateral surface area

The lateral surface area of a cylinder is given by the formula 2πrh. Substituting the given values, we get 2 * 3.14 * 9 * 7 = 395.64 cm².

Step 3: Calculate the total surface area

The total surface area is the sum of the areas of the bases and the lateral surface area. Adding the values calculated in the previous steps, we get 508.68 + 395.64 = 904.32 cm²

Final Answer: The surface area of the cylinder is 904.32 cm²

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