मराठी

The base radii of two right circular cones of the same height are in the ratio 3 : 5. Find the ratio of their volumes. - Mathematics

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प्रश्न

The base radii of two right circular cones of the same height are in the ratio 3 : 5. Find the ratio of their volumes.

बेरीज
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उत्तर

Given

Two right circular cones

Same height

Ratio of their base radii = 3:5

Concept used for a cone,

V = `1/3` πr2

When the height is the same, volume is proportional to r2

Ratio of volumes = `r_1^2 ​: r _2^2 ​= 3^2 : 5^2`

= 9 : 25

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पाठ 17: Mensuration - Exercise 17B [पृष्ठ ३८४]

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नूतन Mathematics [English] Class 10 ICSE
पाठ 17 Mensuration
Exercise 17B | Q 2. | पृष्ठ ३८४
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