Question

9. There are 2 cones, cone 1 and cone 2, whose radius are r1 and r2 respectively. It is given that the volume of the cone 1 to the volume of cone 2 is 1 =
is 1:2.
What is the length of the wire?
2:3
4:7
2:5
4:9​

Answer 1

Answer:

the length of the wire is and which is also the answer for your question is A 2:3

Answer 2

Answer:

 r1 : r2 = 1 : √2

Step-by-step explanation:

Given that ,there are two cones.

and there radius are r1 and r2 respectively.

And the ratio of their volume, V1 : V2  = 1 : 2

To find the ratio of their radius.

SOLUTION:-

We know that volume of the cone = $\frac{\pi r^{2} h}{3}$

As per question ,

V1 = $\frac{\pi r1^{2}h }{3}$,   V2 = $\frac{\pi r2^{2}h }{3}$

So, V1 : V2 =  $\frac{\pi r1^{2}h }{3}$ :  $\frac{\pi r2^{2}h }{3}$

       $\frac{\pi r1^{2}h }{3}$ :   $\frac{\pi r2^{2}h }{3}$ = 1 : 2

      r1² : r2² = 1 : 2

square root on both sides,

      r1 : r2 = 1 : √2

Therefore, the value of the the ratio of r1 : r2 = 1 : √2

THANKS.