3 years ago

Find the volume of the figure.

Mathematics

1 answer:

Assoli18 [71]3 years ago

3 0

Answer:

V≈1809.56

Step-by-step explanation:

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F(x) = 100+ 3x<br> g(x) = 8x<br><br> How do I combine the functions

goblinko [34]

Answer:

Step-by-step explanation:

y=100+3x;gx=8x

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densk [106]

Answer:

10000

Step-by-step explanation:

4^2 (100) = 1600

so,

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IgorC [24]

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3 years ago

The figure is made up of a cylinder and a sphere which has been cut in half. The radius of each half sphere is 5 mm. What is

alexgriva [62]

<h2>Answer:</h2>

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

<em>1308 33 cubic millimeters</em>

<h2>Explanation:</h2>

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

$V_{c}=\pi r^2 h \\ \\ r:radius \\ \\ h:height$

While the volume of half a sphere is:

$V_{hs}=\frac{2}{3}\pi r^3$

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

$V_{s}=\frac{4}{3}\pi r^3$

Then, the composite figure is:

$V=\pi r^2 h +\frac{4}{3}\pi r^3 \\ \\ V=\pi r^2(h+\frac{4}{3}r)$

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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3 years ago

The sum of a number and six is eleven. Find the number.

lisov135 [29]

Answer:

Step-by-step explanation:

6 + 11 = 17

Sum (addition of 2 numbers)

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3 years ago

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