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3 years ago

If the volume of the cylinder is 502.4 in?, what is the radius of

Mathematics

2 answers:

Svetlanka [38]3 years ago

6 0

Answer:

Volume of a cylinder practice question with step-by-step solutions. Get also ... Given a cylinder with a volume of 502.4 in3 and radius 4 in. Find the ... cylinder. Take π as 3.14. Answer. Answer Icon. Select and check your answer... A. 10 in3. B. 10 in. C. 5 in3. D. 5 in. Check Answer ... cylinder with the radius 4in and height h.

Step-by-step explanation:

brainlist please :)

jolli1 [7]3 years ago

5 0

Answer:

radius of the base of cylinder = 4 in

Step-by-step explanation:

Volume of cylinder = pi x r² × h

502.4 = 3.14 x r² x 10

502.4 = 31.4 x r²

r² = 502.4/31.4

r² = 16

r = 4 in

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Determine the most precise name for ABCD (parallelogram, rhombus, rectangle, or square). Explain how you determined your answer.

Sonja [21]

<h3>Answer: Rhombus</h3>

======================================================

Reason:

Let's find the distance from A to B. This is equivalent to finding the length of segment AB. I'll use the distance formula.

$A = (x_1,y_1) = (3,5) \text{ and } B = (x_2, y_2) = (7,6)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(3-7)^2 + (5-6)^2}\\\\d = \sqrt{(-4)^2 + (-1)^2}\\\\d = \sqrt{16 + 1}\\\\d = \sqrt{17}\\\\d \approx 4.1231\\\\$

Segment AB is exactly $\sqrt{17}$ units long, which is approximately 4.1231 units.

If you were to repeat similar steps for the other sides (BC, CD and AD) you should find that all four sides are the same length. Because of this fact, we have a rhombus.

-------------------------

Let's see if this rhombus is a square or not. We'll need to see if the adjacent sides are perpendicular. For that we'll need the slope.

Let's find the slope of AB.

$A = (x_1,y_1) = (3,5) \text{ and } B = (x_2,y_2) = (7,6)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{6 - 5}{7 - 3}\\\\m = \frac{1}{4}\\\\$

Segment AB has a slope of 1/4.

Do the same for BC

$B = (x_1,y_1) = (7,6) \text{ and } C = (x_2,y_2) = (6,2)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{2 - 6}{6 - 7}\\\\m = \frac{-4}{-1}\\\\m = 4\\\\$

Unfortunately the two slopes of 1/4 and 4 are not negative reciprocals of one another. One slope has to be negative while the other is positive, if we wanted perpendicular lines. Also recall that perpendicular slopes must multiply to -1.

We don't have perpendicular lines, so the interior angles are not 90 degrees each.

Therefore, this figure is not a rectangle and by extension it's not a square either.

The best description for this figure is a <u>rhombus</u>.

4 0

2 years ago

Read 2 more answers

Please find the answer to this function! F(2)= 6x^4-10x^3+40x-50

steposvetlana [31]

<u>Answer-</u>

$f(2)= 6x^4-10x^3+40x-50=46$

<u>Solution-</u>

The given function is,

$\Rightarrow f(x)= 6x^4-10x^3+40x-50$

Now, we have to find the value of f(x) at x=2 i.e f(2), so putting x as 2 in the given function,

$\Rightarrow f(2)= 6(2)^4-10(2)^3+40(2)-50$

$\Rightarrow f(2)= (6\times 16)-(10\times 8)+(40\times 2)-50$

$\Rightarrow f(2)= 96-80+80-50$

$\Rightarrow f(2)= 96-50$

$\Rightarrow f(2)= 46$

Therefore, f(2) was found to be 46.

7 0

4 years ago

A 15-foot flag pole is next to a tree. The flag pole is casting a shadow of 22.5 feet and the tree is casting a shadow that is 1

muminat

Answer:32.1428571429 feet

Step-by-step explanation:

The flag is 15 feet.

It's shadow is 10.5 feet.

15/10.5=1.4285714286.

So the flag is above mentioned times of the shadow.

And the tree's hight will be,

22.5*1.4285714286

=32.1428571429 feet.

3 0

3 years ago

Which ordered pair makes both inequalities true? y < –x + 1 y > x (–3, 5) (–2, 2) (–1, –3) (0, –1)

NeTakaya

After graphing the set of inequalities and looking for the overlapping of the shading, the only ordered pair that falls within this shaded area is ( -2, 2)

8 0

4 years ago

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6y/8+12=84<br> What is y<br> How did you get that answer. Pls go step by step

vredina [299]

Answer:

6y/8+12-12=84-12

6y/8=72

8/6*6y/8=72*8/6

y=96

Step-by-step explanation:

first u get rid of the 12 by subtracting it from both side until u get 6y/8 =72. Then to isolate y u have to multiply the reciprocal of 6/8(8/6) by 6y/8, and u do the same thing to the other side. Then when they cancel out each other y would be left to equal 96.

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3 years ago

Read 2 more answers