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4 votes
4 votes
What is the height of a right circular cylinder with a radius of 4 cm and a surface area of 250cm^2

User Emre Isik
by
2.7k points

1 Answer

9 votes
9 votes

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

User Steevan
by
3.2k points
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