Find the volume of the figure if the radius of the hemisphere and cylinder is 6 inches and the height of the cylinder is 12 inches. find the volume in terms of p

576 π

Step-by-step explanation:

You must split the shape into a cylinder and hemisphere.

Formula for a cylinder: πr^2h

The radius is 6 in. and the height is 12 in., and since you are solving in terms if π, your answer for the cylinder is 432 π.

Formula for a hemi-sphere: (4/3 πr^3) /2

The radius, again, is 6 in., so when you plug in the formula in terms if π, you get 144 π.

You add the two volumes together and your answer is 576 π.

Hope this helps!

Hello!

Find the volume of the figure if the radius of the hemisphere and cylinder is 6 inches and the height of the cylinder is 12 inches.

Data: (Cylinder)

h (height) = 12 in

r (radius) = 3 in (The diameter is 6 being twice the radius)

Adopting: 

V (volume) = ?

Solving: (Cylinder volume)

Note: Now, let's find the volume of a hemisphere.

Data: (hemisphere volume)

V (volume) = ?

r (radius) = 3 in (The diameter is 6 being twice the radius)

Adopting:

If: We know that the volume of a sphere is  , but we have a hemisphere, so the formula will be half the volume of the hemisphere 

Formula: (Volume of the hemisphere)

Solving:

Now, to find the total volume of the figure, add the values: (cylinder volume + hemisphere volume)

Volume of the figure = cylinder volume + hemisphere volume

Volume of the figure = 339.12 in³ + 56.52 in³

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I Hope this helps, greetings ... Dexteright02! =)

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