Respuesta :

bawbdmo

Geodesic domes are very close in figure to a hemisphere, so I think it would suffice to calculate that volume and see which is the closest. A hemisphere has a volume of:

[tex] V=\frac{2}{3}\pi r^3 [/tex]

So plugging in 3.14 for pi and 42 for r yields: 155090.88, which means 118927 ft[tex] ^3 [/tex] is the closest.

JeanaShupp

Answer: [tex]118,927\ ft^3[/tex]

Step-by-step explanation:

We know that the shape of a geodesic dome is hemisphere.

The volume of hemisphere is given by :-

[tex]V=\dfrac{2}{3}\pi r^3[/tex]

Given : The radius of  geodesic dome= 42 feet.

Now, the volume of basket ball will be :-

[tex]V=\dfrac{2}{3}(3.14) (42)^3\\\\\Rightarrow\ V=155090.88\text{ cubic feet}

From all the options,  the value is closest to the volume of the dome =[tex]118,927\ ft^3[/tex]

Otras preguntas