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For similarity and Congruency, the ratios are fixed,
Given radii (ratio of length)
= 1:3
A) base area ratio (square the ratio)
= 1 * 1 : 3 * 3
= 1 : 9 //
B) volume ratio (cube the ratio)
= 1 * 1 * 1 : 3 * 3 * 3
= 1 : 27 //
C) from (a), the ratio is 1:9
:. Area of smaller hemi
= 450 / 9
= 50cm^2 //
Given radii (ratio of length)
= 1:3
A) base area ratio (square the ratio)
= 1 * 1 : 3 * 3
= 1 : 9 //
B) volume ratio (cube the ratio)
= 1 * 1 * 1 : 3 * 3 * 3
= 1 : 27 //
C) from (a), the ratio is 1:9
:. Area of smaller hemi
= 450 / 9
= 50cm^2 //