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Answered

What is the approximate volume of a cylinder with a diameter of 12 meters and a height of 7 meters? Use 3.14 for pi.


A.

131.9 m3


B.

263.8 m3


C.

791.3 m3


D.

3165.12 m3

Verified Answer :

\(The\ volume\ of\ the\ cylinder:V=\pi r^2 H\\(r-a\ radius);\ (H-a\ height)\\---------------------\\diameter:d=2r\to\ 2r=12\ m\ therefore\ r=6\ m\\\\subtitute\\\\V=\pi\cdot6^2\cdot7=\pi\cdot36\cdot7=252\pi\approx252\cdot3.14=791.28\approx\boxed{791.3\ (m^3)}\\\\Answer:\boxed{C}\)

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up (+1) ⇒ 791.28 ≈791.3