Question

② the base ratio of two right circular cones of
the same
height are in the ratio
2:3. find ratio of
their volumes.

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Answer 1

Answer:

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Step-by-step explanation:

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Answer 2

Answer:

4 : 9

Step-by-step explanation:

Let the height of both cones be h cm

Ratio of base cones :- Base circumference of Cone₁ : Base circumference of Cone₂ ⇒ 2πr₁ : 2πr₂ = 2 : 3 (given)

r₁ : r₂ = 2 : 3

Let the ratios be x :-

r₁ = 2x and r₂ = 3x

Now , Ratio of Volumes :- Volume₁ (Cone₁) : Volume₂ (Cone₂)

1/3 πr₁²h : 1/3πr₂²h ⇒ (2x)² : (3x)² ⇒ 4x²: 9x² ⇒ 4 : 9