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 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
5 answers
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
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.
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.
please pick one of the answer choices i gave out
42 meters
5 answers