Use the image to answer the question.
An illustration shows a horizontal rectangle of height 18 yards with a circle of diameter 15 yards attached to its top left and a circle of diameter 15 yards attached to its bottom right.
Calculate the surface area. Use 3.14 for π .
(1 point)
Responses
A). 3,108.6 yards2
3,108.6 yards squared
B). 600.53 yards2
600.53 yards squared
C). 623.25 yards2
623.25 yards squared
D). 1,201.05 yards2
D). 1,201.05 yards2
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
A). 16 meters
16 meters
B). 13 meters
13 meters
C). 42 meters
42 meters
D). 6.5 meters
D). 6.5 meters
To solve for the height of the cylinder, we first need to calculate the combined area of the two circles at each end, and then use that with the given total surface area to find the missing height.
Area of one circle = π * (diameter/2)^2
Area of one circle = 3.14 * (12/2)^2
Area of one circle = 3.14 * 6^2
Area of one circle ≈ 113.04 m^2
Combined area of two circles = 2 * 113.04 m^2
Combined area of two circles = 226.08 m^2
Total surface area = lateral surface area + 2 * area of top/bottom circles
715.92 m^2 = 2 * 3.14 * 12 * h + 2 * 113.04
715.92 m^2 = 75.36h + 226.08
75.36h = 489.84
h ≈ 6.5 meters
Therefore, the height of the right circular cylinder is approximately 6.5 meters.