Question

Given a sphere with a diameter of 4 inches, what is the volume of the sphere. write it out.

Answer 1

Answer:

around 33.51

Step-by-step explanation:

Hello! :)

Let’s start with the basics:

How to Find the Volume of a Sphere:

Formula: V= 4/3$\pi$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$\pi$(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