20 points! the figure is made up of a cylinder and a hemisphere. to the nearest whole number, what is the approximate volume of this figure? use 3.14 to approximate π

Hello!

The figure is made up of a cylinder and a hemisphere. To the nearest whole number, what is the approximate volume of this figure? Use 3.14 to approximate π

Data: (Cylinder)

h (height) = 7 in

r (radius) = 2.5 in (The diameter is 5 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) = 2.5 in (The diameter is 5 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 = 137.38 in³ + 32.70 in³

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

attachment?

step-by-step explanation:

17

step-by-step explanation:

51/3=17

thus 17 is your answer.