Question

A hemisphere igloo has the volume of 9,202.8 meters cubed. What is the area of the floor of the igloo.

Answer 1

Answer:

2527.43 square meters

Explanations:

The formula for calculate the volume of hemisphere is given as:

$v=\frac{2}{3}\pi r^3$

where"r" is the radius of the hemisphere

Given the following parameters:

• V = 9,202.8 meters cubed.

Substitute the given parameters into the formula to get the radius:

$\begin{gathered} 9202.8=\frac{2}{3}\times3.14\times r^3 \\ 9202.8\times3=2\times3.14\times r^3 \\ 27608.4=6.28r^3 \\ r^3=4396.24 \\ r=\sqrt[3]{4396.24} \\ r\approx16.38m \end{gathered}$

Determine the area of the floor given the radius above:

$\begin{gathered} A=3\pi r^2 \\ A=3(3.14)\times(16.38)^2 \\ A=2527.43m^2 \end{gathered}$

Hence the area of the floor of the igloo is 2527.43 square meters