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Pachacha [2.7K]
3 years ago
8

Which one has the same volume

Mathematics
1 answer:
Lelu [443]3 years ago
8 0

Answer:

u should've cropped out ur name

Step-by-step explanation:

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A cone and a cylinder have the same height and their bases are congruent circles
Anettt [7]

Answer:

30cm^3

Step-by-step explanation:

the volume of a cylinder is given by:

v_{cylinder}=\pi r^2 h

and the volume of a cone is given by:

v_{cone}=\frac{\pi r^2 h}{3}

since both have the same height and radius, we can solve each equation for r^2h (because this quantity is the same in both figures) and then match the expressions we find:

from the cylinder's volume formula:

r^2h=\frac{v_{cylinder}}{\pi}

and from the cone's volume formula:

r^2h=\frac{3 v_{cone}}{\pi}

matching the two previous expressions:

\frac{v_{cylinder}}{\pi} =\frac{3v_{cone}}{\pi}

we solve for the volume of a cone v_{cone}:

v_{cone}=\frac{\pi v_{cylinder}}{3\pi} \\\\v_{cone}=\frac{v_{cylinder}}{3}

substituting the value of the cylinder's volume v_{cylinder}=90cm^3

v_{cone}=\frac{90cm^3}{3} \\\\v_{cone}=30cm^3

5 0
4 years ago
Read 2 more answers
Vhich of the following is a true statement about skew lines?
krok68 [10]

Answer:

A. Skew lines cannot lie in the same plane.

Step-by-step explanation:

(*Which)

Skew Line Definition (from Wikipedia): <em>"In three-dimensional geometry, skew lines are two lines that do not intersect and are not parallel." </em>-Wikipedia

<em>"Two lines that both lie in the same plane must either cross each other or be parallel, so skew lines can exist only in three or more dimensions."</em> -Wikipedia

Skew lines cannot lie in the same plane so A is correct and C is incorrect.

B and D are incorrect because our friend Wikipedia just said it was incorrect.

5 0
4 years ago
HELP ME LOOK AT THE PICTURE
antiseptic1488 [7]
Part A
Choice 2- The difference between 2 and -1 is -3.

Part B
Martha's total score is -2

7 0
3 years ago
What number should Rhianna use for the height of the parallelogram if she uses 28 inches for the base? This is from edge.FIRST G
Troyanec [42]

Answer:

7

Step-by-step explanation:

6 0
4 years ago
How many lines of symmetry does this figure have?
lianna [129]

Answer:

4 i think

Step-by-step explanation:

If you fold this figure some times it should get it evenly

6 0
3 years ago
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