marcaylah03 marcaylah03
  • 07-07-2020
  • Mathematics
contestada

What is the volume of a sphere with a surface area of 9 pi yd2 Options A. 9/2 Pi yd3 B. 9 pi yd3 C. 9/4 pi yd3 D.36 pi yd3

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geniusbrainpower1
geniusbrainpower1 geniusbrainpower1
  • 07-07-2020

Answer:

=9/2yd³

Step-by-step explanation:

the surface area of a sphere, radius r

S = 4πr²

9 π = 4 π r 2 ⇒ r 2 = 9 π 4 π = 9 4 ∴ r = √ 9 4 = 3 2

The volume of a sphere is

V=43πr3=43×π×(32)3=4×3×3×33×2×2×2π

=9/2yd³

Answer is =9/2yd³ for this question

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