Calculate the surface area of cylinder having diameter of 10.2 ft and height of 14.6 ft.
Answer to Problem 19HP
Surface area of cylinder=
Prism with side of 10.25 ft is having same surface area as that of cylinder.
Explanation of Solution
Given:
Diameter=10.2ft ; radius=5.1ft
Height = 14.6 ft
Calculations:
Here, we have to calculate lateral and surface area of cylinder.
We know that, surface area of cylinder is calculated as,
Where,
Putting values in equation, we get
Surface area of a cube can be calculated as,
Where, a = side of cube
Surface area of Prism is having same surface area of cylinder.
Therefore,
Thus, prism having side 0f 10.25 ft is having same surface area as that of cylinder.
Conclusion:
Therefore, we are able to calculate surface area of cylinder and create its equivalent prism.
Chapter 12 Solutions
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