Given that , what is the total surface area of a cylinder that has a radius of 3 cm and a height of 8 cm?a145.3 cm2 b1179.0 cm2c207.2 cm2 d241.6 cm2
Question
Given that, what is the total surface area of a cylinder that has a radius of 3 cm and a height of 8 cm?
a) 145.3 cm²
b) 1179.0 cm²
c) 207.2 cm²
d) 241.6 cm²
Solution
The total surface area of a cylinder is given by the formula: 2πr(h + r)
Where: r = radius of the base of the cylinder h = height of the cylinder
Given: r = 3 cm h = 8 cm
Substituting these values into the formula, we get:
Total surface area = 2π * 3 * (8 + 3) = 2π * 3 * 11 = 66π cm²
Since π is approximately 3.14, the total surface area is approximately 66 * 3.14 = 207.2 cm²
So, the correct answer is (c) 207.2 cm².
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