A cylindrical glass of water is 6 in tall and holds a volume of 60 in3 60 in3 of water. To the nearest tenth of an inch, what is the radius of the glass?
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Given:
A cylindrical glass is 6 inches tall.
It has a volume of 60 in³
To Find:
The radius of the glass
Solution
Define x:
Let the radius be x
Find the volume in term of x:
Volume of a cylinder = πr²h
Volume of a cylinder = π(x)²(6)
Volume of a cylinder = 6πx²
Solve x:
Volume of a cylinder = 6πx²
Volume of a cylinder = 60 in³
6πx² = 60
x² = 10/π
x = 1.78 inches
x ≈ 2 inches
Answer: The radius is 2 inches
Answered by
1
Answer:
the radius is 2 inches.......
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