A cylinder has a height of 10 cm and a base radius of 2 cm. What is its surface

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Question: A cylinder has a height of 10 cm and a base radius of 2 cm. What is its surface area?

Options:

Correct Answer: 75.40 cm²

Solution:

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

A cylinder has a height of 10 cm and a base radius of 2 cm. What is its surface area?

A cylinder has a height of 10 cm and a base radius of 2 cm. What is its surface area?

Step 1: Identify the formula for the surface area of a cylinder, which is Surface Area = 2πr(h + r).
Step 2: Identify the values needed for the formula: the radius (r) is 2 cm and the height (h) is 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: Substitute this result back into the formula: Surface Area = 2π(2)(12).
Step 6: Multiply the numbers: 2 * 2 * 12 = 48.
Step 7: The surface area is now 48π. To find an approximate value, calculate 48 * π (using π ≈ 3.14).
Step 8: Calculate 48 * 3.14 = 150.72 cm² (approximately).

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