a cylinder has a height of 10 millimeters and a radius of 11 millimeters. what is its volume? use π ≈ 3.14…

a cylinder has a height of 10 millimeters and a radius of 11 millimeters. what is its volume? use π ≈ 3.14 and round your answer to the nearest hundredth. cubic millimeters

a cylinder has a height of 10 millimeters and a radius of 11 millimeters. what is its volume? use π ≈ 3.14 and round your answer to the nearest hundredth. cubic millimeters

Answer

Explanation:

Step1: Recall volume formula

The volume formula for a cylinder is $V=\pi r^{2}h$, where $r$ is the radius and $h$ is the height.

Step2: Substitute values

Given $r = 11$ mm, $h=10$ mm and $\pi\approx3.14$. Substitute into the formula: $V\approx3.14\times11^{2}\times10$.

Step3: Calculate $11^{2}$

$11^{2}=11\times11 = 121$. So $V\approx3.14\times121\times10$.

Step4: Multiply

$3.14\times121 = 379.94$, then $V\approx379.94\times10=3799.40$ cubic - millimeters.

Answer:

$3799.40$