Respuesta :
Answer:
The number of sq units of the total area exceeds the number of cubic units in the volume by 9.43
Explanation:
Given that the radius and the height of the cylinder is;
[tex]\begin{gathered} r=1 \\ h=1 \end{gathered}[/tex]Recall that the formula for the total surface area of a cylinder is;
[tex]A=2\pi r(h+r)[/tex]and the volume of a cylinder can be calculated using the formula;
[tex]V=\pi r^2h[/tex]Substituting the given values;
The surface area is;
[tex]\begin{gathered} A=2\pi r(h+r) \\ A=2\pi(1)(1+1) \\ A=2\pi(2) \\ A=4\pi \\ A=12.57\text{ sq units} \end{gathered}[/tex]The Volume is;
[tex]\begin{gathered} V=\pi r^2h \\ V=\pi(1)^2(1) \\ V=\pi \\ V=3.14\text{ cubic units} \end{gathered}[/tex]the difference between the volume and the total area of the cylinder is;
[tex]\begin{gathered} difference=A-V \\ d=12.57-3.14 \\ =9.43 \end{gathered}[/tex]Therefore, the number of sq units of the total area exceeds the number of cubic units in the volume by 9.43
