Answer:
Option (3). 1571 in³
Explanation:
Amount of cement required to fill the cement = Volume of the cone
Formula for the volume of the cone is
Volume =
![(1)/(3)\pi r^(2)h](https://img.qammunity.org/2021/formulas/mathematics/high-school/62l6ez0ka7qwdjfgh2buu566u9vucwj9uv.png)
Here r = radius of the cone
h = height of the cone
Volume =
![(1)/(3)\pi (10^(2))(15)](https://img.qammunity.org/2021/formulas/mathematics/high-school/ko2vdr974f4jdsiqsm16243c5al9j0ovoy.png)
=
![(1)/(3)\pi (100)(15)](https://img.qammunity.org/2021/formulas/mathematics/high-school/kjkmpm8wmol4lckji0va010gsq9kg513ho.png)
=
![(1500\pi )/(3)](https://img.qammunity.org/2021/formulas/mathematics/high-school/p6hkyufn3hg3uxnrvbf2wo8is9fbj7cjbw.png)
= 500π
= 1570.8
≈ 1571 in³
Therefore, Option (3) is correct.