Question

A geodesic dome has a radius of 42 feet. Which value is closest to the volume of the dome? Use 3.14 for π.

41,900 ft3

118,927 ft3

227,159 ft3

310,182 ft3

Answer 1

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:

`V=(2)/(3)\pi r^3`

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

Answer 2

Answer:
`118,927\ ft^3`

Explanation:

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

The volume of hemisphere is given by :-

`V=(2)/(3)\pi r^3`

Given : The radius of geodesic dome= 42 feet.

Now, the volume of basket ball will be :-