Question

Can someone please help? :)

Answer 1

Solution :-

Volume of solid = Volume of Sphere - Volume of cylinder

Volume = 4/3πr³ - πr²h

Volume = 4/3 • π • 12³ - π • 12² • 24

Volume = 4/3 • π • 1728 - π • 144 • 24

Volume = 4 • π • 576 - π • 3456

Volume = π(3456 - 2304)

Volume = π(1152)

Volume = 3619.11 in³

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Answer 2

The first step is to find the volume of the two hemispheres.

Explanation:

`\boxed{volume \: of \: sphere = (4)/(3) \pi {r}^(3) }`

Since the 2 hemispheres have the same radius, we can simply find the volume of a sphere.

Volume of sphere

`= (4)/(3)( \pi)( {12}^(3) )`

`= 2304\pi \: in^(3)`

Volume of solid

= volume of cylinder -volume of 2 hemispheres

Let's find the volume of the cylinder.

`\boxed{voume \: of \: cylinder = \pi {r}^(2)h }`

Volume of cylinder

`= \pi( {12}^(2) )(24)`

`= 3456\pi \: in^(3)`

Thus, volume of solid

`= 3456\pi - 2304\pi`

`= 1152\pi`

`= 1152(3.14)`

`= 3617.28 \: in^(3)`