Question

Two similar cones have volumes of 3970cm3 and 3100 cm3 respectively.

Answer 1

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,

$\dfrac{V_1}{V_2}=\dfrac{h_1}{h_2}$

Put values,

$h_2=\dfrac{h_1V_2}{V_1}\\\\h_2=\dfrac{25\times 3100}{3970}\\h_2=19.52\ cm$

So, the height of the smaller cone is 19.52 cm.