Question

calculate
calculate the volume of each cylinder.
enter your answers in the table.
then press \check my work.\
left cylinder\tright cylinder
volume
(cubic units)
check my work

Explanation:

Step1: Volume formula for a cylinder

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

Step2: For the left - hand cylinder

Given \(r = 2\) and \(h=8\). Substitute into the formula: \(V=\pi\times(2)^{2}\times8=\pi\times4\times8 = 32\pi\approx32\times3.14 = 100.48\)

Step3: For the right - hand cylinder

Given \(r = 4\) and \(h = 2\). Substitute into the formula: \(V=\pi\times(4)^{2}\times2=\pi\times16\times2=32\pi\approx32\times3.14 = 100.48\)

Answer:

Left Cylinder: \(100.48\) cubic units, Right Cylinder: \(100.48\) cubic units