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Answer:1:7
Step-by-step explanation:
If the cone is divided in two Equal parts from height ,
The Triangle AMD and ANC are similar ( by AAA similarity)
So AM/AN = MD/NC
Or 5/10 = r/R
or R =2r
The Volume of the upper small cone of height 5cm
=1/3(πr²h)
=πr²5/3
And Volume of the frustum BCDE
=Volume of whole cone of height 10 cm - volume of small cone height 5cm
=1/3[πR²10 -πr²5]
=1/3[5π(2R² -r²)]
=5π[2(2r)² -r²]/3
=5π[8r²-r²]/3
=5π(7r²)/3
=35πr²/3
So the ratio of Volumes
=(5πr²/3)/(35πr²/3)
=5/35
=1/7
=1:7
Hope it helps you
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