Calculate the surface area of a cylinder with a radius of 2 cm and a height of 1

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Question: Calculate the surface area of a cylinder with a radius of 2 cm and a height of 10 cm.

Options:

Correct Answer: 75.40 cm²

Solution:

Surface Area = 2πr(h + r) = 2π(2)(10 + 2) = 2π(2)(12) = 48π ≈ 150.80 cm².

Calculate the surface area of a cylinder with a radius of 2 cm and a height of 10 cm.

Calculate the surface area of a cylinder with a radius of 2 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 = 2 cm and h = 10 cm.
Step 3: Substitute the values into the formula: Surface Area = 2π(2)(10 + 2).
Step 4: Calculate the expression inside the parentheses: 10 + 2 = 12.
Step 5: Now the formula looks like this: Surface Area = 2π(2)(12).
Step 6: Multiply the numbers: 2 * 2 * 12 = 48.
Step 7: So, Surface Area = 48π.
Step 8: To get an approximate value, calculate 48π ≈ 150.80 cm².

Surface Area of a Cylinder – The formula for the surface area of a cylinder is given by Surface Area = 2πr(h + r), where r is the radius and h is the height.