Answer:
A. 65.417 meters^3
Step-by-step explanation:
The volume of a sphere can be found using the following formula.
[tex]V=\frac{4}{3}\pi r^3[/tex]
We are given the diameter. We need to find the radius. The radius is half of the diameter.
r=d/2
The diameter is 5 meters.
d= 5 m
r= 5 m /2
r=2.5 m
The radius is 2.5 meters.
Now we know the radius, and can substitute it into the formula. We can also substitute 3.14 in for pi.
[tex]V=\frac{4}{3}\pi r^3[/tex]
[tex]V=\frac{4}{3} **3.14* 2.5^3[/tex]
First, evaluate the exponent: 2.5^3
2.5^3 = 2.5*2.5*2.5 =15.625
[tex]V=\frac{4}{3}*3.14*15.625[/tex]
Multiply all the numbers together.
[tex]V=\frac{4}{3}*(3.14*15.625)[/tex]
[tex]V=\frac{4}{3}*49.0625[/tex]
[tex]V=65.4166667[/tex]
Round to the nearest thousandth. The 6 in the ten thousandth place indicates that we should round the 6 in the thousandth place up to a 7
[tex]V=65.417[/tex]
[tex]V=65.417 meters^3[/tex]
The volume of the sphere is 65.417 cubic meters. A is the correct answer.
