Answer:
[tex]Volume = 11488.21[/tex]
[tex]Area = 2461.76[/tex]
Step-by-step explanation:
Given
[tex]Radius, r = 14\ in[/tex]
Shape: Sphere
Solving (a): The Volume
This is calculated as:
[tex]Volume = \frac{4}{3}\pi r^3[/tex]
Take [tex]\pi[/tex] as 3.14 and substitute 14 for r
[tex]Volume = \frac{4}{3} * 3.14 * 14^3[/tex]
[tex]Volume = \frac{4}{3} * 3.14 * 2744[/tex]
[tex]Volume = \frac{4 * 3.14 * 2744}{3}[/tex]
[tex]Volume = \frac{34464.64}{3}[/tex]
[tex]Volume = 11488.21[/tex]
Solving (b): The Surface Area
This is calculated as follows:
[tex]Area = 4\pi r^2[/tex]
Take [tex]\pi[/tex] as 3.14 and substitute 14 for r
[tex]Area = 4 * 3.14 * 14^2[/tex]
[tex]Area = 4 * 3.14 * 196[/tex]
[tex]Area = 2461.76[/tex]
