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3 years ago

Which statement is true about all cylinders?

Mathematics

2 answers:

DaniilM [7]3 years ago

7 0

3 the radius of both bases are the sams

miskamm [114]3 years ago

7 0

Answer:

Option 3rd is the right answer.

Step-by-step explanation:

Lets check the given statements.

1)The height is a vertical distance - The height of the cylinder is the perpendicular distance between both the bases of the cylinder.

2)The diameter of a base is less than the height - Both the diameter and height can be equal. Its not always true that the diameter is less than height.

3)The radii of both bases are the same - Both the bases will have the same radius in any cylinder.

4)The area of a base is greater than 1 square unit - This is not justifiable.

So, only option 3 is the true statement here.

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Determine the volume of the figure. Use 3.14 for π. Round your answer to the nearest tenth. Show all of your work.

Ostrovityanka [42]

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1985 cubic units (written as un. with the cubed exponent)

Step-by-step explanation:

First, you find the volume of the cylinder

Here's the formula:

$V=\pi r^{2}h\\V=volume\\r=radius\\h=height$

Now, you plug in and solve.

$V=(3.14)(7.2^{2})(7.4)\\V=(3.14)(51.84)(7.4)\\V=(162.7776)(7.4)\\V=1204.55424\\rounded:\\V=1204.6$

Then, you find the volume of the dome.

Here's the formula:

$volume/of/a/sphere=\frac{4}{3}\pi r^{3}\\volume/of/a/dome:\\V=\frac{2}{3}\pi r^{3} \\V=volume\\r=radius$

Now, you just plug in and solve.

$V=(\frac{2}{3})(\pi)(r^{3})\\V=(\frac{2}{3})(3.14)(7.2^{3})\\V=(\frac{2}{3})(3.14)(373.248)\\V=(2.093)(373.248)\\V=781.208064\\rounded:\\V=781.2$

Finally, you add them together, and there's your answer!

$1204.6+781.2=1985.8$

Hope this helped!

<em>brainliest?</em>

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