Select the formula that gives the surface area of the cylinder.
A cylinder with radius r and height h.
A. SA=2rh
B. SA=πrh+πr2
C. SA=2πrh+πr2
D. SA=2πrh+2πr2
C. SA=2πrh+πr2
The surface area does not equal 2πrh+πr2
.When the curved surface of the cylinder is unrolled, it forms a rectangle. The length of the rectangle is the same as the circumference of the cylinder, and the width of the rectangle is the same as the height of the cylinder. The cylinder has two circular bases.
A cylinder with radius r and height h. Circumference is the distance around the circular piece. Circumference = 2 pi r. The circular side is unwrapped. Circumference = length of rectangle = 2 pi r. A circle with radius r on 2 sides of a rectangle with width h. Area = 2 pi r times h.
To find the surface area of the cylinder, add the areas of the rectangle and the two circular bases.
B. SA=πrh+2πr2
The surface area does not equal πrh+πr2
.
When the curved surface of the cylinder is unrolled, it forms a rectangle. The length of the rectangle is the same as the circumference of the cylinder, and the width of the rectangle is the same as the height of the cylinder. The cylinder has two circular bases.
A cylinder with radius r and height h. Circumference is the distance around the circular piece. Circumference = 2 pi r. The circular side is unwrapped. Circumference = length of rectangle = 2 pi r. A circle with radius r on 2 sides of a rectangle with width h. Area = 2 pi r times h.
To find the surface area of the cylinder, add the areas of the rectangle and the two circular bases.
C. SA=2πrh+2πr2
The surface area equals 2πrh+2πr2.
When the curved surface of the cylinder is unrolled, it forms a rectangle. The length of the rectangle is the same as the circumference of the cylinder, and the width of the rectangle is the same as the height of the cylinder. The cylinder has two circular bases.
A cylinder with radius r and height h. Circumference is the distance around the circular piece. Circumference = 2 pi r. The circular side is unwrapped. Circumference = length of rectangle = 2 pi r. A circle with radius r on 2 sides of a rectangle with width h. Area = 2 pi r times h.
To find the surface area of the cylinder, add the areas of the rectangle and the two circular bases.
SASA==Area of rectangle2πrh++Area of circles2πr2