Question

I
If the heights of two cones are in the ratio 1:4
and the radie of their bases are in the ratio 4:1
then the ratio of their Volumes is​

Answer 1

Answer:

Let the base radius of the two cones be 'r1' and 'r2' and  the height of the two cones be 'h1' and 'h2' and the volume of two cones be 'V1' and 'V2'.

h1/h2 = ¼

& r1/r2 = 4/1

Volume of cone = ⅓ πr²h

V1/V2 = ⅓ πr1²h1/ ⅓ πr2²h2

V1/V2 = r1²h1/r2²h2

V1/V2 = r1²/ r2² × h1/h2

V1/V2 = (4/1)² × ¼

V1/V2 = 16/1 × ¼

V1/V2 = 4/1  

V1 : V2 = 4 : 1

Answer 2

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In Attachment ⬆️