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Anit [1.1K]
3 years ago
6

Identify the volume and surface area of the sphere in terms of π. HELP PLEASE!!

Mathematics
1 answer:
Helen [10]3 years ago
3 0

Answer:

First choice V = 18,432π m^3; S = 2,304π m^2

Step-by-step explanation:

Start with the two formulas:

Volume of a circle:

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

Surface area of a circle:

S = 4 \pi r^2

Now use r = 24 m in each formula.

Volume:

V = \dfrac{4}{3} \pi (24~m)^3

V = \dfrac{4}{3} \pi (13,824~m^3)

V = 18,432\pi~m^3

Surface area:

S = 4 \pi r^2

S = 4 \pi (24~m)^2

S = 4 \pi (576~m^2)

S = 2,304\pi ~m^2

Answer: First choice V = 18,432π m^3; S = 2,304π m^2

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The other way to do this is with trigonometric angles.
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<img src="https://tex.z-dn.net/?f=%20log_%7B2%7D%283x%20%2B%204%29%20%20-%207%20log_%7B4%7D%7Bx%7D%5E%7B2%7D%20%20%2B%20%20log_%
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