A cylinder has a radius of 5 cm and a height of 12 cm. What is the total surface

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Question: A cylinder has a radius of 5 cm and a height of 12 cm. What is the total surface area of the cylinder?

Options:

Correct Answer: 340 cm²

Solution:

Total Surface Area = 2πr(h + r) = 2 * π * 5 * (12 + 5) = 2 * 3.14 * 5 * 17 = 530 cm².

A cylinder has a radius of 5 cm and a height of 12 cm. What is the total surface area of the cylinder?

A cylinder has a radius of 5 cm and a height of 12 cm. What is the total surface area of the cylinder?

Step 1: Identify the formula for the total surface area of a cylinder, which is Total Surface Area = 2πr(h + r).
Step 2: Identify the values needed for the formula: the radius (r) is 5 cm and the height (h) is 12 cm.
Step 3: Substitute the values into the formula: Total Surface Area = 2 * π * 5 * (12 + 5).
Step 4: Calculate the value inside the parentheses: (12 + 5) = 17.
Step 5: Substitute this value back into the formula: Total Surface Area = 2 * π * 5 * 17.
Step 6: Calculate 2 * π * 5 * 17. First, calculate 2 * 5 = 10.
Step 7: Now calculate 10 * 17 = 170.
Step 8: Finally, multiply 170 by π (approximately 3.14): 170 * 3.14 = 533.8 cm².
Step 9: Round the answer to the nearest whole number if necessary, which gives us approximately 530 cm².

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