A cylinder has a height of 10 millimeters and a radius of 12 millimeters. Find A the volume and b the surface area. Use 3.14 for pi. Do not round

Question

asked Sep 19, 2023 111k views

1 Answer

Leco · Answer 1 · 2023-09-26T02:24:46+0000

First, we have the following equation to find the volume of the cylinder:

$V=\pi\cdot r^2\cdot h$

in this case, we have the folllowing information:

$\begin{gathered} r=12\operatorname{mm} \\ h=10\operatorname{mm} \end{gathered}$

then, using the formula above, we get:

$\begin{gathered} V=(3.14)(12)^2(10)=4521.6 \\ \Rightarrow V=4521.6\operatorname{mm}^3 \end{gathered}$

then, for the surface area, we have the following formula:

$S=2\cdot\pi\cdot r^2+2\cdot\pi\cdot r\cdot h$

then, we have the following in this case:

$\begin{gathered} S=2(3.14)(12)^2+2(3.14)(12)(10)=904.32+753.6=1657.92 \\ \Rightarrow S=1657.92\operatorname{mm}^2 \end{gathered}$

therefore, the volume is V = 4521.6mm^3 and the surface area is S = 1657.92mm^2