Calculate the surface area of a cylinder with a radius of 3 cm and a height of 1

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Question: Calculate the surface area of a cylinder with a radius of 3 cm and a height of 10 cm.

Options:

Correct Answer: 94.25 cm²

Solution:

Surface Area = 2πr(h + r) = 2π(3)(10 + 3) = 2π(3)(13) = 78π ≈ 245.04 cm²

Calculate the surface area of a cylinder with a radius of 3 cm and a height of 10 cm.

Calculate the surface area of a cylinder with a radius of 3 cm and a height of 10 cm.

Step 1: Identify the formula for the surface area of a cylinder, which is Surface Area = 2πr(h + r).
Step 2: Plug in the values for the radius (r) and height (h). Here, r = 3 cm and h = 10 cm.
Step 3: Calculate (h + r). This means adding the height (10 cm) and the radius (3 cm) together: 10 + 3 = 13.
Step 4: Substitute the values into the formula: Surface Area = 2π(3)(13).
Step 5: Multiply the numbers: First, calculate 2 * 3 = 6, then multiply 6 * 13 = 78.
Step 6: Now, include π in the result: Surface Area = 78π.
Step 7: If needed, calculate the approximate value by multiplying 78 by the value of π (approximately 3.14): 78 * 3.14 ≈ 245.04 cm².

Surface Area of a Cylinder – The formula for the surface area of a cylinder is derived from the areas of its circular bases and its lateral surface.