"Published in Newark, California, USA"
A straight stairway has a balustrade, with dimensions as shown, containing 2 circular balustrade to a step. The foot and hand rails are parallel. Find the total amount of wood used and the total area to be painted.
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| Photo by Math Principles in Everyday Life |
Solution:
Consider the given figure above
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| Photo by Math Principles in Everyday Life |
A balustrade in a stairway is in a shape of right circular cylinder. Each step has two balustrades and there are 14 steps in a stairway. Hence, there are 28 balustrades in a stairway.
The surface area of a right circular cylinder which is a balustrade is
Therefore, the total area of balustrades to be painted is
The volume of a right circular cylinder which is a balustrade is
Therefore, the amount of wood used for balustrades is
