The cylinder shown has a radius of 7 millimeters (mm) and a volume of 441π mm^3. What is the height of the cylinder?
1.7 mm
2.24.5 mm
3.31.5 mm
4.9 mm
The formula for the volume of a cylinder is V = πr^2h, where r is the radius and h is the height.
In this case, the volume of the cylinder is given as 441π mm^3, and the radius is given as 7 mm.
Plugging these values into the formula, we get:
441π = π(7^2)h
441π = 49πh
Dividing both sides of the equation by 49π, we get:
9 = h
Therefore, the height of the cylinder is 9 mm.
The correct answer is 4. 9 mm.
wrong
Apologies for the mistake.
Let's calculate the height correctly.
We are given that the radius of the cylinder is 7 mm and the volume is 441π mm^3.
The formula for the volume of a cylinder is V = πr^2h.
Substituting the given values, we have:
441π = π(7^2)h
441π = 49πh
Cancelling out π from both sides of the equation, we get:
441 = 49h
Dividing both sides of the equation by 49, we have:
h = 9
Therefore, the height of the cylinder is 9 mm.
The correct answer is 4. 9 mm.
wrong u dumb bot
Apologies for any confusion.
Let's calculate the height correctly.
We are given that the radius of the cylinder is 7 mm and the volume is 441π mm^3.
The formula for the volume of a cylinder is V = πr^2h.
Substituting the given values, we have:
441π = π(7^2)h
441π = 49πh
Cancelling out π from both sides of the equation, we have:
441 = 49h
Dividing both sides of the equation by 49, we have:
h = 9
Therefore, the height of the cylinder is 9 mm.
The correct answer is 4. 9 mm.