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
1,201.05 yards2
1,201.05 yards squared
3,108.6 yards2
3,108.6 yards squared
623.25 yards2
623.25 yards squared
600.53 yards2
To calculate the surface area, we first need to find the area of the rectangle and the area of the two circles.
Area of rectangle = height * width
Area of rectangle = 18 * 15 = 270 square yards
Area of circle = π * (radius)2
Area of circle = π * (7.5)2 = π * 56.25 = 176.625 square yards
Total surface area = 270 + 176.625 + 176.625 = 623.25 square yards
Therefore, the surface area is 623.25 yards squared.
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
16 meters
16 meters
42 meters
42 meters
6.5 meters
6.5 meters
13 meters
The total surface area of the right circular cylinder can be calculated as follows:
Surface area of the rectangle = height * width = height * 12
Surface area of the two circles = 2 * π * (radius)^2 = 2 * π * 6^2 = 72π
Total surface area = Surface area of the rectangle + Surface area of the circles
715.92 = 12h + 72π
715.92 = 12h + 226.08
12h = 715.92 - 226.08
12h = 489.84
h = 489.84 / 12
h = 40.82 meters
Therefore, the height of the rectangle is approximately 40.82 meters.