Question

An igloo can be modeled as a hemisphere. Its diameter measures 12 m. Find its volume in cubic meters. Round your answer to the nearest tenth if necessary.

Answer 1

Given:

diameter of the hemisphere = 12m

The volume V of a hemisphere can be found using the formula:

`\begin{gathered} V\text{ = }(2)/(3)\pi r^3 \\ Where\text{ r is the radius} \end{gathered}`

The radius r and diameter d are related by the formula:

`\text{r = }(d)/(2)`

Substituting the given values into the formula:

`\begin{gathered} V\text{ = }(2)/(3)\text{ }*\pi*((12)/(2))^3 \\ =\text{ 452.39} \\ \approx\text{ 452.4 m}^3 \end{gathered}`

Answer:

`V\text{ = 452.4 m}^3`