What is the volume of a sphere with a diameter of 18 cm? Round your answer to the nearest hundredth.

3053.6 cubic cm
3028.4 cubic cm
1526.1 cubic cm
1526.8 cubic cm

Respuesta :

3053.6 because from the formula 4/3piercube

Answer: 3053.6 cubic cm

Step-by-step explanation:

The volume of sphere is given by :-

[tex]\text{Volume]=\dfrac{4}{3}\pi r^3[/tex], where r is the radius of the sphere.

Given: The diameter of sphere =[tex]d=18\ cm[/tex]

Then ,  the radius of the sphere =[tex]r=\dfrac{18}{2}=9\ cm[/tex]

Now, the volume of the sphere will be ;_

[tex]\text{Volume}=\dfrac{4}{3}(3.14159265359) (9)^3\\\\\Rightarrow\text{Volume}=3053.62805929\approx3053.6\text{ cubic cm}[/tex]