Question

If r_{1} and r_{2} are the radii of two different cones with the same height, then find the ratio of their volumes?​

Answer 1

Answer:

r1^2/r2^2

Step-by-step explanation:

Solution is given in image

Answer 2

QUESTION-:

If r₁ and r₂ are the radii of two different cones with the same height, then find the ratio of their volumes?​

EXPLANATION-:

Let the volume of the cone of radii r₁ be $\boxed{\bf\; \frac{1}{3}\pi (r_{1})^2h}$

Similarly

Volume of cone of radii r₂ be $\boxed{\bf\; \frac{1}{3}\pi (r_{2})^2h}$

Finding ratio,

→ v₁/v₂=[1/3π(r₁)²h]/[1/3π(r₂)²h]

→ v₁/v₂=[(r₁)²]/[(r₂)²]

∴Ratio of their volumes is [(r₁)²]/[(r₂)²]