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3 years ago

Almost done need help

Mathematics

1 answer:

dangina [55]3 years ago

6 0

Answer:

$x=37$

Step-by-step explanation:

Use the alternating interior angles theorem.

It states that alternating interior angles are congruent.

Therefore,

$3x+4=115 \\ \\ 3x=111 \\ \\ x=37$

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<h2>Answer:</h2>

<em>Rounded to the nearest hundredth the volume of the composite figure is:</em>

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<h2>Explanation:</h2>

Hello! I wrote the complete question in a comment above. The volume of a cylinder is defined as:

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While the volume of half a sphere is:

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Since we have 2 half spheres, then the volume of these is the same as the volume of a sphere:

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The radius of the cylinder is the same of the radius of each half sphere. So:

$r=5mm \\ \\ h=10mm \\ \\ \\ V=(3.14) (5)^2((10)+\frac{4}{3}(5)) \\ \\ V=25(3.14)(10+\frac{20}{3}) \\ \\ \boxed{V\approx 1308.33mm^3}$

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