A cylindrical can of volume 198cm has a height of 7cm. find the radius of the cylindrical
Mathematics science
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To find the radius of a cylindrical can, we can use the formula for the volume of a cylinder, which is given by:
Volume = π * r^2 * h
Where:
- Volume is the given volume of the cylinder (198 cm^3),
- π (pi) is a mathematical constant which is approximately equal to 3.14159,
- r is the radius of the cylinder, and
- h is the height of the cylinder (7 cm).
We can rearrange the formula and solve for the radius (r):
r^2 = Volume / (π * h)
Substituting the given values:
r^2 = 198 cm^3 / (π * 7 cm)
Now we can calculate the value of r by taking the square root of both sides:
r = √(198 cm^3 / (π * 7 cm))
Using a calculator to evaluate this expression, we get:
r ≈ 2.5 cm
Therefore, the radius of the cylindrical can is approximately 2.5 cm.
To find the radius of the cylindrical can, you can use the formula for the volume of a cylinder, which is given by V = πr^2h, where V is the volume, r is the radius, and h is the height.
In this case, the volume of the cylinder is given as 198 cm^3 and the height is given as 7 cm. We can substitute these values into the formula and solve for the radius.
198 = πr^2 * 7
To isolate the radius, we can divide both sides of the equation by 7π:
198 / (7π) = r^2
Now, we can take the square root of both sides of the equation to solve for r:
√(198 / (7π)) = r
Using a calculator, we can evaluate the right side of the equation to get the value of r:
r ≈ 2.5 cm
Therefore, the radius of the cylindrical can is approximately 2.5 cm.