#### Answer

The volume of the cylinder is 471.43 ft cubed.
The surface area is 345.72 ft squared.

#### Work Step by Step

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.