# 010 Volume of snow blocks in an igloo

**Example 010**

An igloo or Eskimo hut is built in the form of a hemispherical shell with an inside diameter of 12 ft. If the igloo is constructed of snow block having a uniform thickness of 2 ft and weighing 40 lb/ft^{3}, find the weight of the igloo, neglecting the entrance. Also, if fresh air contains 0.04% carbon dioxide, find the amount of this gas in the igloo when freshly ventilated.

**Solution 010**

$V = \frac{1}{2} [ \, \frac{4}{3}\pi (8^3 – 6^3) \, ]$

$V = 619.94 \, \text{ ft}^3$

Weight of the igloo

$W = \gamma V = 40(619.94)$

$W = 24~797.64 \, \text{ lb}$ *answer*

Volume of air inside the igloo

$V_{air} = \frac{1}{2} [ \, \frac{4}{3}\pi (6^3) \, ]$

$V_{air} = 144\pi \, \text{ ft}^3$

Amount of carbon dioxide in the air

$V = 0.0004(144\pi) = 0.0576\pi$

$V = 0.181 \, \text{ ft}^3$ *answer*