Answer : The correct option is, (A)
![3589.5m^3](https://img.qammunity.org/2020/formulas/mathematics/high-school/nk8anthz15z1i4yf3d2nku9yzcwee9l48a.png)
Step-by-step explanation :
Formula used to calculate the volume of sphere is:
![V=(4)/(3)\pi r^3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zn7p1lbtqa5xs0by5iezm20g8ifwtiean6.png)
where,
V = volume of sphere = ?
r = radius of sphere =
![(Diameter)/(2)=(19m)/(2)=9.5m](https://img.qammunity.org/2020/formulas/mathematics/high-school/twzjcgffp6ltdzp6bw1vuqoivqowd97vma.png)
Now put all the given value in the above formula, we get:
![V=(4)/(3)\pi r^3](https://img.qammunity.org/2020/formulas/mathematics/middle-school/zn7p1lbtqa5xs0by5iezm20g8ifwtiean6.png)
![V=(4)/(3)* 3.14* (9.5)^3](https://img.qammunity.org/2020/formulas/mathematics/high-school/bcgaek2nuqctk6bsa9sc7xyvc4kq6ley13.png)
![V=3589.5m^3](https://img.qammunity.org/2020/formulas/mathematics/high-school/g8suiyjba25quphgtg3zess4uxu7x3vlai.png)
Therefore, the volume of the sphere is,
![3589.5m^3](https://img.qammunity.org/2020/formulas/mathematics/high-school/nk8anthz15z1i4yf3d2nku9yzcwee9l48a.png)