Surface Area of Cylinders Practice
Complete this assessment to review what you've learned. It will not count toward your grade.
3 of 53 of 5 Items
Question
Use the image to answer the question.
An illustration shows a rectangle of unknown height with a circle of radius 3 feet attached to its top left and a circle of radius 3 feet attached to its bottom right.
If the surface area of the net diagram of the right circular cylinder is 395.64 feet2 , find the height of the net diagram. Use 3.14 for π .
(1 point)
wrong
To find the surface area of a cylinder, we use the formula:
Surface Area = 2πr^2 + 2πrh
In this case, we know the radius (r) is 3 feet and the surface area is 395.64 feet^2. We can set up the equation:
395.64 = 2(3.14)(3)^2 + 2(3.14)(3)h
Now, we can solve for h:
395.64 = 56.52 + 18.84h
338.12 = 18.84h
h ≈ 17.92 feet
Therefore, the height of the net diagram is approximately 17.92 feet.
I apologize for the mistake. Let's correct that.
The surface area of a cylinder is given by the formula:
Surface Area = 2πr^2 + 2πrh
Given that the surface area of the cylinder is 395.64 feet^2, and the radius (r) is 3 feet, we can plug in the values and solve for the height (h):
395.64 = 2(3.14)(3)^2 + 2(3.14)(3)h
395.64 = 56.52 + 18.84h
337.12 = 18.84h
h = 337.12/18.84
h ≈ 17.9 feet
Therefore, the height of the net diagram is approximately 17.9 feet.