Answer:
The height of the smaller cone is 19.52 cm
Step-by-step explanation:
Given that,
The volume of cone 1, V₁ = 3970 cm³
The volume of cone 2, V₂ = 3100 cm³
The height of the larger cone, h₁ = 25 cm
We need to find the height of the smaller cone. Let it is h₂. For similar cones,
[tex]\dfrac{V_1}{V_2}=\dfrac{h_1}{h_2}[/tex]
Put values,
[tex]h_2=\dfrac{h_1V_2}{V_1}\\\\h_2=\dfrac{25\times 3100}{3970}\\h_2=19.52\ cm[/tex]
So, the height of the smaller cone is 19.52 cm.
