Surface Areas and Volumes
GIVEN: ratio of volumes of the two spheres = 27:125 Let the radius of one of the hemisphere be 'R' And radius of another hemisphere be 'r' Volume of a hemisphere = 2/3πr^3 Now, Ratio of their volume = 2/3πR^3 ÷ 2/3πr^3 = 2/3πR^3 × 3/2πr^3 27/125 = R^3/r^3 27/125. = (R/r)^3 ^3√27/125 = R/r 3/5 = R/r
R:r = 3:5
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