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Math problem, do me a favor and explain why.
1 The area contrast between cylinder and cone bottom is 2: 3, the volume ratio is 3: 2, and the height ratio is 3:4.

S 1:S2=2:3,s 1h 1:S2( 1/3)h 1 = 3:2

3(2/3)h 1:h2=3:2

h 1:h2=3/4

2 10 students participated in the math competition, with an average score of 66 points, including 60 points for boys, 70 points for girls, and the number of boys was 2:3.

60x+70( 10-x)=66* 10

x=4, 10-4=6