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 .

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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 .  

Enter your answer in the box.  in.³

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

Step-by-step explanation:

  21.3

step-by-step explanation:

multiplying the given equation by c/sin(25°), we get

  c = 9/sin(25°) ≈ 21.2958 ≈ 21.3

we assume "c" is the length of ab, the side opposite angle c in triangle abc.

equal to

step-by-step explanation: