Surface Area of Cylinders Practice
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Question
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An illustration shows a horizontal rectangle of height 4 inches with a circle of radius 8 inches attached to its top left and a circle of radius 8 inches attached to its bottom right.
Find the surface area of the net diagram of the right circular cylinder. Use 3.14 for π .
(1 point)
inches2
I apologize for the error. Let's correct the calculation:
The surface area of a cylinder can be calculated using the formula:
Surface Area = 2πr^2 + 2πrh
Given that the radius (r) is 8 inches and the height (h) is 4 inches:
Surface Area = 2π(8)^2 + 2π(8)(4)
Surface Area = 2π(64) + 2π(32)
Surface Area = 128π + 64π
Surface Area = 192π
Now, substituting π ≈ 3.14:
Surface Area ≈ 192 * 3.14
Surface Area ≈ 602.88
Therefore, the surface area of the net diagram of the right circular cylinder is approximately 602.88 square inches.
wrong
The surface area of a cylinder can be calculated using the formula:
Surface Area = 2πr^2 + 2πrh
In this case, the radius (r) is 8 inches and the height (h) is 4 inches.
Plugging these values into the formula:
Surface Area = 2(3.14)(8^2) + 2(3.14)(8)(4)
Surface Area = 2(3.14)(64) + 2(3.14)(32)
Surface Area = 401.92 + 201.06
Surface Area = 602.98
Therefore, the surface area of the net diagram of the right circular cylinder is 602.98 square inches.