Question

can someone please help? :)

Answer 1

Answer:

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

Step-by-step explanation:

$\boxed{volume \: of \: sphere = \frac{4}{3} \pi {r}^{3} }$

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

Volume of sphere

$= \frac{4}{3}( \pi)( {12}^{3} )$

$= 2304\pi \: in^{3}$

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

$= 3456\pi - 2304\pi$

$= 1152\pi$

$= 1152(3.14)$

$= 3617.28 \: in^{3}$

Answer 2

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