Question

Please help ASAP !!!! ​

Answer 1

First, use the equation for a hemisphere. Since a sphere's equation is
`(4)/(3)\pi r^(3)`, and a hemisphere is half a sphere, we can use the equation
`(2)/(3)\pi r^(3)`. We know the radius is 6 inches, and we can approximate pi as 3.14, so now let's plug in our values:

`(2)/(3)\ (3.14) 6^(3)=(2)/(3) \ (3.14)(216)= (2)/(3)(678.16)= 452.16`

The volume of the hemisphere is about
`452.16 in^(3)`.

The formula for the volume of a cone is
`\pi r^(2)(h)/(3)`. Again, let's plug in our values:

`(3.14)(36)(6)/(3) =(3.14)(36)(2)=(3.14)(72)=226.08`

The volume of the cone is about
`226.08 in^(3)`.

Subtract 226.08 from 452.16 and you get 226.08.

The volume of the remaining solid will be
`226.08 in^(3)`.