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3 years ago

The volume of a cylinder is 289pi in.cubed and the height of the cylinder is 1 in. What is the radius of the cylinder?

Mathematics

1 answer:

ruslelena [56]3 years ago

5 0

The radius of the cylinder is 17 inches.

Step-by-step explanation:

Given,

Volume of cylinder = V = 289π in cubed

Height of cylinder = h = 1 in

Radius of cylinder = r

We know that;

Volume of cylinder = πr²h

Putting values;

$289\pi =\pi r^2(1)$

Dividing both sides by π (pi)

$\frac{289\pi }{\pi }=\frac{\pi r^2}{\pi }$

$289=r^2\\r^2=289$

Taking square root on both sides

$\sqrt{r^2} =\sqrt{289} \\r=17\ in.$

The radius of the cylinder is 17 inches.

Keywords: volume, radius

Learn more about volumes at:

#LearnwithBrainly

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Please answer this correctly

jeka57 [31]

Answer:

169.5 yd²

Step-by-step explanation:

See attachment.

In situations like this, ALWAYS (!) make as sketch.

Divide the areas by adding dotted lines on sensible places, and write in the missing numbers for the correct distances.

The only possible difficult one is the triangle, which is the half of a rectangle. So you are dealing with a series of areas of rectangles. That is really easy if you understand what you are doing.

Total area =

area 1 + area 2 + area 3 + area 4

10*4 + 4*7 + 3*13 + (0.5 * 7*17)

40 + 28 + 42 + 59.5

Total area = 169.5 yd²

6 0

3 years ago

Order each set of numbers from least to greatest.<br><br><br> PLZ HELP ASAP

Wittaler [7]

Answer:

$\frac{41}{3} < 14 < \sqrt{200}$

<u> $0.6 < \frac{2}{3} < \sqrt{ \frac{9}{16} }$ </u>

Step-by-step explanation:

$\sqrt{200} = 10 \sqrt{2} = 14.1 \\ 14 = 14 \\ \frac{41}{3} = 13.6$

So ;

$\frac{41}{3} < 14 < \sqrt{200} \\ 13.6 < 14 < 14.1$

$\frac{2}{3} = 0.66 \\ \sqrt{ \frac{9}{16} } = \frac{3}{4} = 0.75 \\ 0.6 = 0.6$

So ;

$0.6 < \frac{2}{3} < \sqrt{ \frac{9}{16} } \\ 0.6 < 0.66 < 0.75$

I hope I helped you^_^

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2 years ago

The perimeter of Dawna's new flat screen television is 112 inches. The ratio of its length to width is 4:3. Wire and solve an al

Dmitry_Shevchenko [17]

Hey there,
Length = 4x
Width = 3x
Perimeter = 112 inches
4x + 3x + 4x + 3x = 112 inches
14x = 112 inches
x = 112 inches / 14
= 8 inches
Length = 8 inches x 4
= 32 inches
Width = 8 inches x 3
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Hope this helps :))

<em>~Top♥</em>

5 0

2 years ago

Read 2 more answers

In the numerical sentence below, A = 8, D = 1/2 , and F = 1/4. What are the values B, C, and E if the sentence below is equivale

a_sh-v [17]

B=3; C=16; and E=4096.

Using the information we have gives us

$8^B \times C^{\frac{1}{2}} = E^{\frac{1}{4}}$

We know that:
$8^B = 2;
\\
\\C^{\frac{1}{2}}=4;
\\
\\E^{\frac{1}{4}}=8$

We know that 2³ = 8, so B = 3.

To "undo" a square root, we square the number; 4²=16, so C = 16.

To "undo" a fourth root, we raise the answer to the fourth power; 8⁴ = 4096, so E = 4096.

3 0

2 years ago

Read 2 more answers

1st. (2 root 2 + root 3 ) ( 2 root 3 - root 2)

satela [25.4K]

Answer:

1st: 3*root6 + 5

2nd: 35*root2 + 115

3rd: 24*root2 - 20*root6 + 15*root3 - 18

4th: 17*root6 - 38

5th: 13*root10 - 42

Step-by-step explanation:

To simplify these expressions we need to use the distributive property:

(a + b) * (c + d) = ac + ad + bc + bd

So simplifying each expression, we have:

1st.

(2 root 2 + root 3 ) ( 2 root 3 - root 2)

= 4*root6 - 2*2 + 2*3 - root6

= 3*root6 - 4 + 9

= 3*root6 + 5

2nd.

(root 5 + 2 root 10) (3 root 5 + root 10)

= 3 * 5 + root50 + 6*root50 + 2*10

= 15 + 5*root2 + 30*root2 + 100

= 35*root2 + 115

3rd.

(4 root 6 - 3 root 3) (2 root 3 - 5)

= 8*root18 - 20*root6 - 6*3 + 15root3

= 24*root2 - 20*root6 + 15*root3 - 18

4rd.

(6 root 3 - 5 root 2 ) (2 root 2 - root 3)

= 12*root6 - 6*3 - 10*2 + 5*root6

= 17*root6 - 18 - 20

= 17*root6 - 38

5th.

(root 10 - 3 ) ( 4 - 3 root 10)

= 4*root10 - 3*10 - 12 + 9*root10

= 13*root10 - 30 - 12

= 13*root10 - 42

8 0

2 years ago

The volume of a cylinder is 289pi in.cubed and the height of the cylinder is 1 in. What is the radius of the​ cylinder?

The volume of a cylinder is 289pi in.cubed and the height of the cylinder is 1 in. What is the radius of the cylinder?