Question 6/20: Set 6 - Try Out - Mathematical Reasoning (SNBT)

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Two types of sand, sand A and sand B, are poured separately to form cones. The base radius of the sand A cone is always equal to its height, while the base radius of the sand B cone is twice its height. $P_1$ is the center of the base of sand pile A and $P_2$ is the center of the base of sand pile B. The distance between $P_1$ and $P_2$ is $10$ m.

Sand Cone Visualization

Two cone-shaped sand piles.

R_1=h_1

and

R_2=2h_2

If both types of sand are poured at the same volumetric rate, then $h_1 : h_2 = ....$

Question 6

Explanation

Volume Rate Analysis

Substituting Radius and Height Relationships

Determining the Height Ratio

Command Palette

Number 6

Explanation

Volume Rate Analysis

Substituting Radius and Height Relationships

Determining the Height Ratio