Concept explainers
Calculate the surface area of pillar that needs more painting.
Answer to Problem 12PPS
Taryn will need more paint for pillar2 as surface area of pillar 2 is more than pillar 1.
Explanation of Solution
Given:
For pillar 1: Diameter=0.15 m ; Radius=0.075m
Height = 0.75m
For pillar 2: Diameter=0.30 m ; Radius=0.15m
Height = 0.38m
Calculations:
Here, we have to calculate surface area of cylinder.
We know that, surface area of pillar 1 is calculated as,
Where,
h is the height of pillar 1
Putting values in equation, we get
Similarly we can calculate surface area of pillar 2,
Where,
h is the height of pillar 1
Putting values, we get
As the surface area of pillar2 is larger than that of pillar1, thus Taryn will need more paint for pillar2.
Conclusion:
Therefore, we are able to calculate surface area of both pillars and can conclude that pillar 2 will require more paint than pillar 1.
Chapter 12 Solutions
Pre-Algebra Student Edition
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