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Answers
Hey here is it possible Deere attached file
Hola mate♥♥
Answer:-
The height of a Cone, 3h is trisected by2 planes // to the base of the cone at equal distances.
So, the cone is divided into a smaller cone & 2 frustums of the cone. The height of each piece is ‘h’ unit
Since, right triangle ABG ~ tri ACF ~ tri ADE ( by AAA similarity corresponding sides are to be proportional.
So, AB/AC = h/2h = 1/2 = BG/CF = r/2r
AB/AD = h/3h = 1/3 = BG/ DE = r/ 3r
Now, we find the volume of each piece.. a smaller cone & 2 frustums
Volume of Cone ABG = 1/3 pi r² h ………….(1)
Volume of middle frustum =
1/3 pi ( r² + 4r² + 2r² ) h
= 1/3 pi 7r² h ……………….…….(2)
Volume of next frustum =
1/3 pi ( 4r² + 9r² + 6r²) h
= 1/3 pi 19r² h …………………….(3)
Now, by finding the ratio of (1),(2)&(3)
we get, (1/3pi r² h) : (1/3 pi 7r² h) : (1/3 pi 19r² h)
= 1:7:19
Hope it helps..♥