EXPLANATION:
Given:
We are given a cylinder with the following dimensions;
[tex]\begin{gathered} Diameter=10cm \\ Height=12cm \end{gathered}[/tex]
Required:
We are required to calculate the volume of the cylinder shown.
To do that, we will apply the formula given to calculate the volume of a cylinder.
Formula:
[tex]\begin{gathered} Volume\text{ }of\text{ }a\text{ }cylinder: \\ V=\pi r^2h \end{gathered}[/tex]
Take note that the radius is half of the diameter, that is;
[tex]r=\frac{diameter}{2}[/tex][tex]r=\frac{10}{2}=5[/tex]
With the values given we can now substitute and solve;
[tex]V=3.14\times5^2\times12[/tex][tex]V=3.14\times25\times12[/tex][tex]V=942cm^3[/tex]
The volume of the cylinder is;
ANSWER:
[tex]Volume=942cm^3[/tex]
The correct answer is option D
