Identify the volume and surface area of the sphere in terms of π. HELP PLEASE!!
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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:
[tex] V = \dfrac{4}{3} \pi r^3 [/tex]
Surface area of a circle:
[tex] S = 4 \pi r^2 [/tex]
Now use r = 24 m in each formula.
Volume:
[tex] V = \dfrac{4}{3} \pi (24~m)^3 [/tex]
[tex] V = \dfrac{4}{3} \pi (13,824~m^3) [/tex]
[tex] V = 18,432\pi~m^3 [/tex]
Surface area:
[tex] S = 4 \pi r^2 [/tex]
[tex] S = 4 \pi (24~m)^2 [/tex]
[tex] S = 4 \pi (576~m^2) [/tex]
[tex] S = 2,304\pi ~m^2 [/tex]
Answer: First choice V = 18,432π m^3; S = 2,304π m^2