What is the total surface area of a right rectangular cylinder with a radius of and a height that is 1.5 times its diameter?
Question
What is the total surface area of a right rectangular cylinder with a radius of and a height that is 1.5 times its diameter?
Solution
The total surface area of a right circular cylinder is given by the formula:
A = 2πr(h + r)
where:
- r is the radius of the base of the cylinder,
- h is the height of the cylinder.
In this case, we are given that the radius r is 1 (it's not specified in the question, but it's implied), and the height h is 1.5 times the diameter. Since the diameter is twice the radius, this means the height is 1.5 * 2 * 1 = 3.
Substituting these values into the formula, we get:
A = 2π(1)(3 + 1) = 2π(4) = 8π square units.
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