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can someone please help? :)

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Leora03idn

Answer:

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

Step-by-step explanation:

[tex]\boxed{volume \: of \: sphere = \frac{4}{3} \pi {r}^{3} }[/tex]

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

Volume of sphere

[tex] = \frac{4}{3}( \pi)( {12}^{3} )[/tex]

[tex] = 2304\pi \: in^{3} [/tex]

Volume of solid

= volume of cylinder -volume of 2 hemispheres

Let's find the volume of the cylinder.

[tex]\boxed{voume \: of \: cylinder = \pi {r}^{2}h }[/tex]

Volume of cylinder

[tex] = \pi( {12}^{2} )(24)[/tex]

[tex] = 3456\pi \: in^{3} [/tex]

Thus, volume of solid

[tex] = 3456\pi - 2304\pi[/tex]

[tex] = 1152\pi[/tex]

[tex] = 1152(3.14)[/tex]

[tex] = 3617.28 \: in^{3} [/tex]

Answer:

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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