Math Is Fun Forum

MoyMarian

Member

Registered: 2009-01-10

Posts: 29

inverted right circular cone

A water tank is in the form of an inverted right circular cone with a base diamter 5 meters and slant height 6 meters .Find the volume of water it contains when
a. it is full
b. filled to a depth of 3 meters.

JurassicPlank2

Guest

Re: inverted right circular cone

Diameter D = 5.0m
Radius R = 2.5m

H = √(6.0² - 2.5²) = 5.454m

1. Volume of Cone = (1/3)*PI*H*R² = 0.333*3.142*5.454*2.5*2.5 = 35.665m³

2. Cone filled to a depth of 3.0m

                      r = 2.500 * 3.0/5.454 = 1.375m

                      0.333*3.142*5.454*1.375*1.375 = 10.789m³

JaneFairfax

Member

Registered: 2007-02-23

Posts: 6,868

Re: inverted right circular cone

@MoyMarian

It looks like JurassicPlank1 is trying to do your homework for you. Beware, though. For example, JurassicPlank1’s solution to this problem

http://www.mathisfunforum.com/viewtopic.php?id=11551

is incorrect.

Much better to do your own homework than to copy somebody else’s mistakes!

Last edited by JaneFairfax (2009-02-14 08:51:05)