Determine the volume of the shaded region. Use the pie
button on your calculator.
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Answer:
23.89 cm^3
Step-by-step explanation:
You will need to use two volume formulas. Find the volume. Then subtract their volume to find whats left over.
1. Volume of cylinder formula- V = [tex]\pi r^{2} h[/tex]
The h = 8.8 and the
The r = 1.5 (radius is half of the diameter which is 3)
Substitute the numbers into the formula
V=[tex]\pi[/tex][tex]1.5^{2}[/tex]8
V= 62.2 cm
2. Volume of Sphere formula- V = [tex]\frac{4}{3} \pi r^{3}[/tex]
The r = 1.45 (radius is half of the diameter which is 2.9) (radius of the circle)
Substitute the numbers into the formula
V= [tex]\frac{4}{3} \pi (1.45)^{3}[/tex]
V= 12.77
Since there are 3 sphere's we need to multiple 12.77 * 3 = 38.31
3. Subtract the total volumes from the cylinder and the 3 sphere's
62.2 - 38.31 = 23.89
The V = 23.89