Mathematics · Mensuration

The volume of a right circular cone is equal to that of a sphere whose radius is one-fourth of the base radius of the cone. What is the ratio of the radius of the base to the height of the cone?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

14:1
21:16
316:1✓
41:4

Correct answer

16:1

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The volume of a right circular cone is equal to that of a sphere whose radius is one-fourth of the base radius of the cone. What is the ratio of the radius of the base to the height of the cone?

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The volume of a right circular cone is equal to that of a sphere whose radius is one-fourth of the base radius of the cone. What is the ratio of the radius of the base to the height of the cone?

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