Question

the ratio of the surface area of two cones is 16 ratio 9 then the ratio of their volumes is​

Answer 1

Answer:

9:16

Step-by-step explanation:

Let the heights are base areas of two cones of equal volumes be h1h1, h2h2 and A1A1, A2A2 respectively

=13A1h1=13A2h2∵13A1h1=13A2h2

=A1A2=h2h1∴A1A2=h2h1

=1(h1h2)=1(169)=916=1(h1h2)=1(169)=916

=A1:A2::9:16

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