Find the lateral surface area and volume of the cylinder shown in the picture.Simplify your answer & round to the nearest hundred is needed.

Find the lateral surface area and volume of the cylinder shown in the pictureSimplify your answer amp round to the nearest hundred is needed class=

Respuesta :

The lateral surface area of a cylinder with radius r and height h is

[tex]A=2\pi rh[/tex]

Here r=47.6cm and h=83.6cm

So lateral surface area is

[tex]\begin{gathered} A=2\pi\times47.6\times83.6 \\ A=25003.056cm^2 \\ A=25003.06\operatorname{cm} \end{gathered}[/tex]

The volume of the cylinder is

[tex]\begin{gathered} V=\pi r^2h \\ V=\pi\times(47.6)^2\times83.6 \\ V=595072.740 \\ V=595072.74 \end{gathered}[/tex]