SOLUTION: A cardboard box shipping container is in the form of a cylinder, with a radius of 6 centimeters and a volume of 8595.4 cubic centimeters. Find the length of the shipping container

Algebra ->  Volume -> SOLUTION: A cardboard box shipping container is in the form of a cylinder, with a radius of 6 centimeters and a volume of 8595.4 cubic centimeters. Find the length of the shipping container      Log On


   

Question 452294: A cardboard box shipping container is in the form of a cylinder, with a radius of 6 centimeters and a volume of 8595.4 cubic centimeters. Find the length of the shipping container. Round to the nearest tenth.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A cardboard box shipping container is in the form of a cylinder, with a radius
of 6 centimeters and a volume of 8595.4 cubic centimeters.
Find the length of the shipping container. Round to the nearest tenth.
:
The vol of a cylinder formula: pi%2Ar%5E2%2Ah = v
in this problem:
r = 6
v = 8595.4
:
pi%2A6%5E2%2Ah = 8595.4
113.01h = 8595.4
h = 8595.4%2F113.1
h = 75.998 ~ 76 cm is the length of the cylinder
:
:
Check solution on a calc: enter pi%2A6%5E2%2A76 results: 8595.3975 ~ 8595.4