Question
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
1.7 mm
2.24.5 mm
3.31.5 mm
4.9 mm
Answers
GPT 3.5
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.
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
GPT 3.5
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.
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
GPT 3.5
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.
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.