# Solution: What percent is the volume of the largest cylinder which can inscribed in the cone?

Given a cone of diameter x and altitude of h. What percent is the volume of the largest cylinder which can inscribed in the cone to the volume of the cone?

#### Problem Statement: ECE Board November 1998

Given a cone of diameter x and altitude of h. What percent is the volume of the largest cylinder which can inscribed in the cone to the volume of the cone?
• A. 44%
• B. 46%
• C. 56%
• D. 65%

The volume of the largest cylinder which can inscribed in the cone to the volume of the cone is 44%

Solution:

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