Mathematics, 22.08.2019 06:30 welathyasf
The volumes of two similar cones are 36π cm3 and 288π cm3. the base radius of the smaller cone is 3 cm. calculate the base radius of the larger cone.
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![V_1=36\pi\ cm^3\\\\V_2=288\pi\ cm^3\\\\\frac{V_2}{V_1}=k^3\ \ \ (k-similar\ scale)\\\\k^3=\frac{288\pi}{36\pi}\\\\k^3=8\\\\k=\sqrt[3]8\\\\k=2](/tpl/images/0187/1820/4389c.png)
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The volumes of two similar cones are 36π cm3 and 288π cm3. the base radius of the smaller cone is 3...
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