Concept explainers
The radius of a cylindrical tennis ball can is
The height of the tennis ball can is six times the radius. What is the surface area of the cylinder? Write your answer in simplified form.
To find: the surface area of the cylinder.
Answer to Problem 30P
Surface area of the cylinder is
Explanation of Solution
Given information: The radius of a cylindrical tennis ball can is
Calculation:
Let r and h be the radius and height of the cylindrical popcorn tin respectively.
Sine height of the tin is three times the radius, therefore h=6r
The formula for the surface area of the cylinder is
Since, h=6r, therefore surface area of the tin is
Substituting the value
Now, use the identity,
Thus, surface area of the cylinder is
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