Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Appendix A - A.3 - Exercise Set: 6

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.
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