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kirill [66]
3 years ago
10

R = 4 in., θ = 11 rad; find s

Mathematics
1 answer:
son4ous [18]3 years ago
4 0

Answer:

The arc length s = 44 inches

Step-by-step explanation:

We are given:

r = 4 in

Ф = 11 radians

We need to find s

The formula used is: s=r\theta

where s represents arc length, r is radius and Ф is angle in radians

Putting values and finding s

s=r\theta

Put r = 4 and Ф = 11

s=4\times 11\\s=44

So, the arc length s = 44 inches

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<em><u>Solution:</u></em>

<em><u>The volume of cone is given by formula:</u></em>

V = \frac{\pi r^2h}{3}

Where,

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"r" and "h" are the radius and height of cone respectively

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<em><u>Substituting the values in formula, we get</u></em>

16 \pi = \frac{ \pi \times r^2 \times 12}{3}\\\\16 = 4r^2\\\\r^2 = 4\\\\r = \pm 2

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<h2><u>hope</u><u> </u><u>it</u><u> </u><u>helps</u><u> </u><u>you</u><u> </u><u>❣❣</u><u> </u></h2>

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