Question

You need to find the volume of the plastic sphere that holds the gum in your gumball machine. If the diameter is 2 feet, what is the volume? Use 3.14 to approximate pi. Round your answer to the nearest hundredth.

a 1.33 cubic feet

b 4.19 cubic feet

c 2.36 cubic feet

d 33.49 cubic feet

Answer 1

B) 4.19

Explanation:

Answer 2

For this case we have that by definition, the volume of a sphere is given by:

`V = \frac {4} {3} * \pi * r ^ 3`

Where:

r: It is the radius of the sphere

According to the statement we have to:

`r = \frac {2} {2} = 1 \ft`

So the volume is:

`V = \frac {4} {3} * \pi * (1) ^ 3\\V = \frac {4} {3} * 3.14\\V = 4.186`

Rounding we have that the volume of the sphere is:
`4.19 \ ft ^ 3`

Answer:

Option B