Answer:
The volume of the hemisphere is: 93.7 cubic feet
Step-by-step explanation:
Recall that the volume of a sphere of radius R is given by:
[tex]Sphere's\,\,Volume=\frac{4}{3} \pi\,R^3[/tex]
therefore, the volume of a hemisphere would be half of such:
[tex]Hemisphere's\,\,Volume=\frac{2}{3} \pi\,R^3[/tex]
Now,the radius of the hemisphere must be half of its diameter, that is:
7.1 ft /2 = 3.55 ft
Now, when we use this value in the hemisphere's volume formula, we get:
[tex]Hemisphere's\,\,Volume=\frac{2}{3} \pi\,R^3\\Hemisphere's\,\,Volume=\frac{2}{3} \pi\,(3.55)^3\\Hemisphere's\,\,Volume=93.70088\,\,ft^3[/tex]
Which rounded to the nearest tenth gives: 93.7 cubic feet
