Question

Select the figure obtained when rotating the figure about an axis along its largest side, and find the exact surface area of the resulting figure. A rectangle with length 19 and width 17. The figure obtained is a

Answer 1

Figure obtained - Cylinder

Surface area of the cylinder is 1224π square units.

Explanation:

When a rectangle is rotated about an axis along its largest side, a cylinder having radius 17 and height 19 units is formed.

Surface area of the cylinder = 2πr(h + r)

By substituting r = 17 units and h = 19 units in the given formula,

Surface area = 2π(17)(17 + 19)

= (34)(36)π

= 1224π

Therefore, surface area of the cylinder is 1224π square units.