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6 July, 02:32

the. radio of the radius and height of a cylinder 2:3 if the volume is 12.936cm cube find tsa of cylinder

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  1. 6 July, 04:18
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    30.79 cm^2 (to nearest hundredth).

    Step-by-step explanation:

    Height = 3/2 of the radius (as the ratio of r to h = 2:3.).

    h = 3r/2. or 1.5r.

    Volume of the cylinder = π r^2 h = 12.936

    So π r^2 1.5r = 12.936

    r^3 = 12.936 / (π * 1.5r)

    r = 1.4 and h = 1.4 * 3/2 = 2.1

    Total surface area 2π r^2 + 2πrh

    = 2π (1.4) ^2 + 2π1.4*2.1

    = 9.8π

    = 30.79 cm^2 answer
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