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Gustavo Puma · Answer 1 · 2023-09-09T23:40:11+0000

hello

to solve this problem, let's write down the data given

Area = 250cm^2

radius = 4cm

height = ?

surface area (A) =

$\begin{gathered} A=2\pi rh+2\pi r^2 \\ \pi=(22)/(7)=3.14 \end{gathered}$

now, let's substitute the values into the equation

$\begin{gathered} A=2\pi rh+2\pi r^2 \\ 250=2*3.14*4* h+2*3.14*4^2 \\ 250=25.12h+100.48 \\ \text{solve for h} \\ 250-100.48=25.12h \\ 149.52=25.12h \\ \text{divide both sides by 25.12} \\ (149.52)/(25.12)=(25.12h)/(25.12) \\ h=5.95\operatorname{cm} \end{gathered}$

the height of the cylinder is equal to 5.95cm

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