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Math Help - Surface area and inscribed cone

  1. #1
    Newbie Altami's Avatar
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    Surface area and inscribed cone

    I am having trouble with this one.

    A right circular cylinder is inscribed within a right circular cone with height 10in and radius of base 3 inches. Find:

    A) The total surface area of the cylinder in terms of the radius of the cylinder.
    Now I know the the equation of the surface area of cylinder is;  A=2\pi r^2+ 2\pi r h

    but I don't know how to make it in terms of the radius?
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  2. #2
    Newbie Altami's Avatar
    Joined
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    Okay so what I did was this.

    \frac{h}{3-r}=\frac{10}{3} and solved for h, so h= 10-\frac{10r}{3} then just plugged in and got... A(r)=20\pi r-\frac{14\pi r^2}{3}
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