The surface area of a right circular cylinder can be calculated using the formula: 2πrh + πd1^2 + πd2^2, where r is the radius, h is the height, and d1 and d2 are the diameters of the top and bottom circles.
Given that the surface area is 715.92 square meters and the diameters are both 12 meters, we can plug in the values and solve for h:
2(3.14)(12)(h) + 3.14(12)^2 + 3.14(12)^2 = 715.92
75.36h + 452.16 + 452.16 = 715.92
75.36h + 904.32 = 715.92
75.36h = -188.4
h = -188.4 / 75.36
h = -2.5 meters
Since height cannot be negative, this means there may be an error in the calculation or the information provided. None of the provided answer options match the calculated height.
Use the image to answer the question.
An illustration shows a horizontal rectangle of unknown height (in meters) with a circle of diameter 12 meters attached to its top left and a circle of diameter 12 meters attached to its bottom right.
If the surface area of the net diagram of the right circular cylinder is 715.92 meters2, find the height. Use 3.14 for π.
(1 point)
Responses
42 meters
42 meters
6.5 meters
6.5 meters
13 meters
13 meters
16 meters
16 meters
1 answer
1 answer