A right cylinder has a radius of 4 and a height of 11. What is its surface area?A.88 units2B.152 units2C.60 units2D.120 units2SUBMITarrow_backPREVIOUS
Question
A right cylinder has a radius of 4 and a height of 11. What is its surface area?
A. 88 units²
B. 152 units²
C. 60 units²
D. 120 units²
SUBMIT
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Solution
The surface area of a right cylinder is given by the formula: 2πrh + 2πr²
Where: r = radius of the base of the cylinder h = height of the cylinder
Given: r = 4 units h = 11 units
Substitute these values into the formula:
Surface area = 2π(4)(11) + 2π(4)² = 88π + 32π = 120π units²
Therefore, the surface area of the cylinder is 120π units². However, the options provided are not in terms of π. To convert to the same units as the options, multiply by π (approximately 3.14):
120π ≈ 120 * 3.14 = 376.8 units²
None of the options (A. 88 units², B. 152 units², C. 60 units², D. 120 units²) match this result. There may be a mistake in the question or the options provided.
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