+0

0
73
1
+163

A fish tank, in the shape of a rectangular prism with dimensions 51 cm by 39 cm by 28 cm, is 95% filled with water. A solid log is placed into the tank, sinks to the bottom, and makes water spill out. The log is shaped like a cylinder with a radius of 5 cm and a height of 44 cm.
How much water spills out of the tank?
Use 3.14 for pi.

The volume of the tank is 51*39*28 = 55692 cm^3.

The volume of the empty part of the tank is 5% of it, i.e. 0.05*55692 = 2784.6 cm^3.

The volume of the cylinder is = = 3454 cm^3.

Since the cylinder is fully submerged into water, the volume of water which is spilled out is 3455 - 2784.6 = 669.4 cm^3.

Gwendolynkristine  Jun 1, 2017
Sort:

#1
+75302
+2

The  tank can hold  55692 cm^3     (1)

The volume of the log  plus the volume of the water in the tank  =

pi ( 5)^2 * 44  +  55692 (.95)   ≈  56363.2  cm^3     (2)

So   the approximate volume that spills out  =    (2)  - (1)  ≈ 671.152  cm^3

Our answers differ probably due to rounding......but.....close enough  !!!!

CPhill  Jun 1, 2017

### 4 Online Users

We use cookies to personalise content and ads, to provide social media features and to analyse our traffic. We also share information about your use of our site with our social media, advertising and analytics partners.  See details