## Intermediate Algebra (6th Edition)

The volume of a cylinder is the area of the base times the height. $A=\pi r^2$ $A=\frac{22}{7}(5)^2$ $A=\frac{22}{7}(25)$ $A=78.57$ $V=78.57\times6$ $V=471.43$ The volume of the cylinder is 471.43 ft cubed. To find the surface area, we need to find the circumference of the circle. $C=2\pi r$ $C=2(\frac{22}{7})(5)$ $C=31.43$ The surface area of a cylinder is the area of the two ends plus the surface area of the middle (which is a rectangle with a length of six and a width of 31.43 ft). $S=2(78.57)+(31.43\times6)$ $S=157.14+188.58$ $S=345.72$ The surface area is 345.72 ft squared.