Answer:
around 33.51
Explanation:
Hello! :)
Let’s start with the basics:
How to Find the Volume of a Sphere:
Formula: V= 4/3
r^3, which means the volume is 4/3 times the approximation of pi (3.14 or 22/7) time the radius with an exponent of 3.
Now that we know how to find the volume of a sphere, let’s solve the actual problem :D
The diameter is 4. We have to find the radius to find a volume of a sphere.
The radius is the diameter divided by 2; that makes our radius, 2.
So, V= 4/3
(2)^3
Let’s solve the exponent first. 2^3= 2(2)(2) which is 8.
Now, you can either solve 4/3 times 8 first, or 4/3 times pi. I’m going to solve 4/3 times 8 to make it a little bit easier.
4/3 times 8= 32/3 which is around 10.7 (10.6667).
Now, let’s do 10.7 times pi. (I’ll be using 3.14 as the approximation of pi.)
10.7 x 3.14= 33.598 (actual answer using 10.6667 is 33.51).
And there you go! I hope this helps, let me know if you have any questions/I did anything wrong. Good luck! :D