The base radius and height of a right circular cylinder are 1.5m and 7m. Find the capacity inliters
Question
The base radius and height of a right circular cylinder are 1.5m and 7m. Find the capacity in liters.
Solution
The capacity of a right circular cylinder is given by the formula:
V = πr²h
where:
- V is the volume (or capacity),
- r is the radius of the base,
- h is the height,
- π is a constant approximately equal to 3.14159.
Given that the radius r is 1.5m and the height h is 7m, we can substitute these values into the formula:
V = π * (1.5m)² * 7m V = π * 2.25m² * 7m V = 15.707963267948966 m³
Since 1 cubic meter is equal to 1000 liters, we can convert the volume from cubic meters to liters:
V = 15.707963267948966 m³ * 1000 L/m³ V = 15707.963267948966 L
So, the capacity of the cylinder is approximately 15708 liters.
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