Math, asked by gauranshisharma15, 4 months ago

Two cones have their height in the ratio 2:3 and
radii in the ratio 5:2 . The ratio of their volume is .​

Answers

Answered by priyankapurakkad
17

The ratio of there volume is

Attachments:
Answered by hukam0685
1

The ratio of volumes of cones will be 25:6.

Given:

  • Two cones have their height in the ratio 2:3 and
  • radii in the ratio 5:2 .

To find:

  • Find the ratio of their volumes.

Solution:

Formula to be used:

Volume of the cone :

\bf V_C =  \frac{1}{3} \pi \:  {r}^{2} h \\

Step 1:

Write the given ratios.

Let the radius of one cone be r_1 and the other is r_2.

Similarly, heights of cones are h_1 \: and \: h_2 respectively.

ATQ,

 \bf \frac{ r_1 }{ r_2 }  =  \frac{5}{2}  \\

and

\bf \frac{ h_1 }{ h_2 }  =  \frac{2}{3}  \\

Step 2:

Find the ratio of volumes.

 \frac{V_{C1}}{ V_{C2} }  =  \frac{ \frac{1}{3} \pi \:  {r_1}^{2} h_1}{\frac{1}{3} \pi \:  {r_2}^{2} h_2}  \\

\frac{V_{C1}}{ V_{C2} }  =  \frac{ {r_1}^{2} h_1}{{r_2}^{2} h_2}  \\

\frac{V_{C1}}{ V_{C2} }   =  \frac{25 \times 2}{4 \times 3}  \\

\bf \frac{V_{C1}}{ V_{C2} }   =  \frac{25}{6}  \\

Thus,

Ratio of volumes of cones will be 25:6.

Learn more:

1) volume of cone is 4620cm cube and hight is 10cm find the radious of its base

https://brainly.in/question/6866541

2) A cylinder and a cone have equal radii and equal height if the volume of cylinder is 27 cubic units find the volume of c...

https://brainly.in/question/10221815

#SPJ2

Similar questions