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3241004551 [841]
3 years ago
13

How long is the arc intersected by a central angle of pi/3 radians in a circle with a radius of 6 ft? Round your answer to the n

earest tenth. Use 3.14 for pi
1.0 ft
5.7 ft
6.3 ft
7.0 ft
Mathematics
2 answers:
oksian1 [2.3K]3 years ago
6 0

Answer:

c;6.3 just took the test on edge.

Step-by-step explanation:

Vinil7 [7]3 years ago
4 0

<u>Answer:</u>

6.3 ft

<u>Step-by-step explanation:</u>

We are given,

the central angle of the arc = \frac{\pi} {3} } radians; and

radius of the arc = 6ft

Therefore using these values, we can find the length of the long arc.

Length of the arc = 6 × \pi / 3

Lenth of the arc = 2\pi = 2 × 3.14 = 6.28

Therefore, the length of the arc, rounded to the nearest tenth is 6.3 ft.

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A cone has a diameter of 8 units and a height of 8 units. units, and its volume is Its radius is volume of cubic units. If a sph
aev [14]

The above question is not complete because it was not written and arranged properly

Complete Question

1) A cone has a diameter of 8 units and a height of 8 units. Its radius is 4 units, and its volume is ______ cubic units.

2) A cylinder with the same height and radius as the cone will have a volume ______ of cubic units.

3) If a sphere has the same radius as the cylinder, its volume is ______the volume of the cylinder. Answer: 1) Volume of the cone = 134.04cubic units

2)Volume of the cylinder = 402.12cubic units

3) Volume of the sphere= 268.08 cubic units. Hence, if a sphere has the same radius as the cylinder, its volume is 2/3 times the volume of the cylinder.

Step-by-step explanation:

1) A cone has a diameter of 8 units and a height of 8 units. Its radius is 4 units, and its volume is ______ cubic units.

Volume of a cone = 1/3πr²h

h = 8 units

r = 4 units

Volume = 1/3 × π × 4² × 8

134.04cubic units

2) A cylinder with the same height and radius as the cone will have a volume ______ of cubic units.

Volume of a cylinder = πr²h

Height and radius is the same as that of the cones hence,

h = 8 units

r = 4 units

= π × 4² × 8

= 402.12cubic units.

3) If a sphere has the same radius as the cylinder, its volume is ______the volume of the cylinder.

Volume of a Sphere = 4/3πr³

r = radius of the cylinder = 4 units

Volume of a Sphere = 4/3 × π × 4³

= 268.08 cubic units.

From the above question, we are asked to compare the volume of the sphere with the volume of the cylinder

Volume of the sphere : Volume of the cylinder

268.08 cubic units : 402.12 cubic units

268.08/402.12 = 2/3

Therefore, the volume of the sphere is 2/3 times the volume of the cylinder

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Write 2 9/10 as an improper fraction.<br><br>pls hurry!<br>and pls explain how to do it
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Answer:

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Step-by-step explanation:

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Alborosie

Answer:

y-4 = (-1/3)(x+1)

Step-by-step explanation:

We need to identify the equation in point slope form.

The standard equation of point slope form is:

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Since the line is perpendicular, so the slope in negative inverse of actual slope that m = -1/m

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So, the equation in point slope form is:

y-(-1) = (-1/3)(x-4)

=> y+1 = (-1/3)(x-4)

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https://socratic.org/answers/486496

Step-by-step explanation:

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