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| 1. |
A Cy, a come and a hemisphere are equal base and same hight. Find the ratio of there volume. |
| Answer» {tex}V_1{/tex}(volume of cone) =\xa0{tex}\\frac{1}{3}{/tex}{tex}\\pi{/tex}r2r{tex}V_2{/tex}(volume of hemisphere) =\xa0{tex}\\frac{2}{3}{/tex}{tex}\\pi{/tex}r3\xa0{tex}V_3{/tex}(volume of cylinder) =\xa0{tex}\\pi{/tex}r2{tex}\\cdot{/tex}r{tex}V_1 : V_2 : V_3 ={/tex}\xa0{tex}\\frac{1}{3}{/tex}{tex}\\pi{/tex}r3 :\xa0{tex}\\frac{2}{3}{/tex}{tex}\\pi{/tex}r3 :\xa0{tex}\\pi{/tex}r3 =\xa0{tex}\\frac{1}{3}{/tex}\xa0:\xa0{tex}\\frac{2}{3}{/tex}\xa0: 1{tex}V_1 : V_2 : V_3 = 1 : 2 : 3.{/tex} | |