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Mademuasel [1]
3 years ago
7

A cylinder has a radius of 3 inches and a height of 6imches .What is the volume?

Mathematics
2 answers:
11111nata11111 [884]3 years ago
7 0

Answer:

169.65 inches^2

Step-by-step explanation:

Volume of a cylinder

V = pi x r^2 x h

pi x 3^2 x 6

≈ 169.65

rusak2 [61]3 years ago
5 0

Answer:

-The volume of a cylinder can be either:

In terms of pi: 54\pi

             or

Using 3.14 for pi: 169.646 in^3

Step-by-step explanation:

Use the formula for the volume of a cylinder and use the given radius and height for the formula:

V = \pi r^2 h

V = \pi 3^26

Then, solve the formula:

V = \pi \times 3^2 \times 6

V = \pi \times 9 \times 6

V = \pi \times 54

V = 54\pi \approx 169.646

-So, the answers would be:

In terms of pi: 54\pi

          or

Using 3.14 for pi: 169.646 in^3

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Step-by-step explanation:

<u>Sheet 1: Question 3</u>

<em>Vertically opposite angles are equal so you will equate the angles given,</em>

∠LPN = ∠OPM

7 + 13x = -20 + 16x

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<u>Sheet 1: Question 4</u>

<em>Vertically opposite angles are equal so you will equate the angles given,</em>

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<u>Sheet 1: Question 5</u>

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<em>Vertically opposite angles are equal so you will equate the angles given,</em>

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Angle SOR = 180 - 50 <em>(because all angles on a straight line are equal to 180°)</em>

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Angle POQ = 130° <em>(because it is vertically opposite to angle SOR)</em>

<u>Sheet 1: Question 6</u>

Angle 1 = 72° <em>(because vertically opposite angles)</em>

∠4 + ∠1 + 41 = 180° <em>(because all angles on a straight line are equal to 180°)</em>

∠4 + 72 + 41 = 180

∠4 = 67°

∠3 = 41° <em>(because vertically opposite angles)</em>

∠2 = 67° <em>(because vertically opposite angles)</em>

<u>Sheet 2: Question 3</u>

Step 1: Find the value of x

<em>Sum of complementary angles is equal to 90°</em>

Angle A + Angle B = 90°

7x + 4 + 4x + 9 = 90°

11x = 90 - 13

11x = 77

x = 7

<u>Step 2: Find angle A and angle B using x</u>

Angle A: 7x + 4

7(7) + 4

Angle A = 53°

Angle B: 4x + 9

4(7) + 9

Angle B = 37°

<u>Sheet 3: Question 3</u>

<u>Step 1: Find the value of x</u>

<em>Sum of supplementary angles is equal to 180°.</em>

Angle A + Angle B = 180°

3x - 7 + 2x + 2 = 180°

5x = 185

x = 37

<u>Step 2: Find angle A and angle B using x</u>

Angle A: 3x - 7

3(37)-7

Angle A = 104°

Angle B: 2x + 2

2(37) + 2

Angle B = 76°

<u>Sheet 3: Question 4</u>

<em>Sum of supplementary angles is equal to 180°.</em>

<u>Step 1: Find x</u>

1/4(36x-8) + 1/2(6x-20) = 180°

Take LCM

[36x - 8 + 2(6x - 20)]/4 = 180°

36x - 8 +12x - 40 = 180 x 4

48x - 48 = 720

48x = 768

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<em>Step 2: Find both angles with the help of x</em>

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1/4[36(16)-8] = 568/4

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Angle 2: 1/2(6x-20)

1/2[6(16)-20] = 76/2

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<u>Sheet 4: Question 1</u>

<em>All angles on a straight line are equal to 180°</em>

Angle z + 138° = 180°

Angle z = 180 - 138

Angle z = 42°

<u>Sheet 4: Question 2</u>

Linear pair 1: 5 and 7 <em>(because both angles are on a straight line and are equal to 180°)</em>

Linear pair 2: 6 and 8<em> (because both angles are on a straight line and are equal to 180°)</em>

<u>Sheet 4: Question 3</u>

<u>Step 1: Find the value of x</u>

<em>All angles on a straight line are equal to 180° or linear pairs are equal to 180°</em>

Angle LMO + Angle OMN = 180°

7x + 20 + 10 + 5x = 180°

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Angle LMO: 7x + 20

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Angle LMO = 107.5°

Angle OMN: 10 + 5x

10 + 5(12.5)

Angle OMN = 72.5°

<u>Sheet 4: Question 4</u>

<em>Linear pairs are equal to 180°.</em>

Angle 1 + Angle 2 = 180°

1/3(27x-6) + 1/2(6x-20) = 180°

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[2(27x-6) + 3(6x-20)]/6 = 180

54x - 12 + 18x - 60 = 1080

72x - 72 = 1080

72x = 1152

x = 16

!!

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4 years ago
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