Answer:
Volume of hemisphere
[tex]\frac{ 2\pi r^{3} }{3}#\\\frac{2*(22/7)(26/2)^{3} }{3} \\4601.3860 ft^{3}[/tex]
[tex]Density=\frac{m}{v} \\96.5=\frac{m}{4601.3860} \\m=4601.3860*96.5\\m=444033.749 lbs\\m=444034 lbs\\[/tex]
Step-by-step explanation:
The formula for the volume of a hemisphere is [tex]\frac{ 2\pi r^{3} }{3}#\\[/tex]
Substitute the points and solve.
N.B. [tex]\pi[/tex] has a value of either 3.14 or [tex]\frac{22}{7}[/tex]
You can insert [tex]\pi[/tex] directly into your calculator
You now have the volume of the hemisphere.
Density (given) is mass (what we are looking for) divided by volume (what we found in the first step)
Substitute the values.
Change subject.
Solve.
Have a nice day. :)
