Find the volume and surface area of the figure. Use 3.14 as the approximate value of pie.
Round your answer to the nearest tenth, if necessary.
6in radius 14in height
To find the volume of the figure, we will use the formula for the volume of a cylinder: V = πr²h.
Given that the radius (r) is 6 inches and the height (h) is 14 inches, we can substitute these values into the formula:
V = 3.14 * 6² * 14
V = 3.14 * 36 * 14
V = 3.14 * 504
V = 1584.56 cubic inches
Therefore, the volume of the figure is approximately 1584.6 cubic inches.
To find the surface area of the figure, we will use the formula for the surface area of a cylinder: A = 2πrh + 2πr².
Given that the radius (r) is 6 inches and the height (h) is 14 inches, we can substitute these values into the formula:
A = 2 * 3.14 * 6 * 14 + 2 * 3.14 * 6²
A = 2 * 3.14 * 84 + 2 * 3.14 * 36
A = 6.28 * 84 + 6.28 * 36
A = 530.88 + 225.12
A = 756 inches²
Therefore, the surface area of the figure is 756 square inches.