Answer :
Final answer:
The surface area of a cylinder with a diameter of 4cm and height of 6cm, including the areas of the ends, is closest to (c) 100.5 cm² .
Explanation:
The surface area of a cylinder can be calculated using the formula: 2πr(h + r), where r represents the radius (half of the diameter) and h stands for the height of the cylinder. Given the diameter of the cylinder as 4 cm, the radius would therefore be 2 cm.
Substituting the given values into the formula, we have: 2 * π * 2cm * (6cm + 2cm) = 2 * 3.14 * 2 * 8 = 100.48 cm².
Note that this is not exactly one of the available options, but considering significant figures and round off rules, it is closest to option (c) 100.5 cm².
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