Question
Use 3.14 as pi.
A cylinder has a volume of 239 cubic centimetres and a height of 6 centimeters. what is the Height?
A cylinder has a volume of 239 cubic centimetres and a height of 6 centimeters. what is the Height?
Answers
Answered by
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We can use the formula for the volume of a cylinder:
V = πr^2h
Since we don't know the radius, we can rearrange the formula to solve for h:
h = V/(πr^2)
But we don't need to solve for the radius, because we already know the volume and the height. We just need to plug in the values:
239 = πr^2(6)
Simplifying the equation:
239 = 18πr^2
r^2 = 239/(18π)
r^2 ≈ 2.118
r ≈ 1.455
Now we can use the formula for h:
h = V/(πr^2)
h = 239/(π(1.455)^2)
h ≈ 34.14
So the height of the cylinder is approximately 34.14 centimeters.
V = πr^2h
Since we don't know the radius, we can rearrange the formula to solve for h:
h = V/(πr^2)
But we don't need to solve for the radius, because we already know the volume and the height. We just need to plug in the values:
239 = πr^2(6)
Simplifying the equation:
239 = 18πr^2
r^2 = 239/(18π)
r^2 ≈ 2.118
r ≈ 1.455
Now we can use the formula for h:
h = V/(πr^2)
h = 239/(π(1.455)^2)
h ≈ 34.14
So the height of the cylinder is approximately 34.14 centimeters.