Math Problem Statement

a cylindrical vessel of height 7/3m is half filled with water.if the water is transferred into an empty conical vessel of radius 3.5m and height 14m and the conical vessel is completely filled. find the radius of cylindrical vessel.

Solution

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Math Problem Analysis

Mathematical Concepts

Volume of Cylinders
Volume of Cones
Geometry
Ratio and Proportion

Formulas

Volume of Cylinder = πr²h
Volume of Cone = (1/3)πr²h

Theorems

Volume Conservation

Suitable Grade Level

Grades 9-11