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zhuklara [117]
3 years ago
13

Find the length of each arc. Use the exact answer

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
3 0

Answer:

Option D = 16π/3 ft

Step-by-step explanation:

Arc length formula is written Mathematically as:

Arc length = 2πr × θ /360

r = 4 ft

θ = Central angle in degrees = 240°

2 × π × 4 × 240/360

8π × 240/360

8π × 20/30

16π/3 ft

So, the arc length is 16π/3 ft

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Find the volume of the sphere. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and round
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Answer:

Find the volume of the sphere.  

Either enter an exact answer in terms of π or use 3.14 for π and round your final answer to the nearest hundredth.

The radius is 1

Volume = \frac{4}{3} \pi  or 4.19

Step-by-step explanation:

Given

Radius, r = 1

Required

Find the volume of sphere

Volume of a sphere is calculated using the following formula

V = \frac{4}{3} \pi r^{3}

Where V = Volume and r = radius

By Substitution,

V = \frac{4}{3} \pi * 1^{3}\\\\V = \frac{4}{3} \pi * 1\\\\V = \frac{4}{3} \pi

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We have to substitute 3.14 for π

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What is the surface area of sphere with radius 13 ft?
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