A cylinder has a radius of 2.38 mm and a height of 175 mm.Calculate the volume of the cylinder in liters.(Volume = πr²h) A) 3.11 × 10^-3 L B) 3.11 × 10^-2 L C) 0.311 L D) 3.11 L E) 3.11 × 10³ L

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Quizplus · Accepted Answer

The volume of a cylinder is given by the formula $V = \pi r^2 h$, where $r$ is the radius and $h$ is the height. Substituting the given values, $r = 2.38 \, \text{mm}$ and $h = 175 \, \text{mm}$, we get $V = \pi (2.38)^2 (175)$. Converting mm to meters for the final answer in liters (since $1 \, \text{L} = 1 \, \text{dm}^3 = 10^{-3} \, \text{m}^3$), we have $r = 0.00238 \, \text{m}$ and $h = 0.175 \, \text{m}$. Thus, $V = \pi (0.00238)^2 (0.175) \approx 3.11 \times 10^{-3} \, \text{m}^3 = 3.11 \times 10^{-3} \, \text{L}$, which corresponds to choice A.

A Cylinder Has a Radius of 2