Question

If the heights of two cones are in the ratio 1:4 and their diameter are in the ratio 4:5 what is the ratio of their volumes?1:4 4:25 4:23 1:6

Answer 1

Answer:

Step-by-step explanation:

Volume of a cone is 1/3πr^2h

Let the volume of cone 1 be v1 and radius be r1 and height be h1

And the cone 2 be v2, r2, h2 respectively

Then given h1/h2=1/4,d1/d2=4/5

Where d1 and d2 are the diameters

d=2r then d1=2r1 and d2=2r2

So from this r1/r2=4/5

Ratio of their volumes 'q/v2=(1/3πr1^2h1)/1/3πr2^2h2)

=(r1/r2)^2*h1/h2

=(4/5)^2*1/4

=4/25=4:25

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Answer 2

Answer:

4 : 25 will be the correct answer.

Step-by-step explanation: