Question

You are examining a log that you find on the ground. The diameter of the log is 32 inches, but the length of the log is unknown. Find the log’s length if its volume is 10,000π in.^3
. Round your answer to the nearest hundredth.(1 point)
length=
in.

Answer 1

Volume V = πr^2h with r = 32/2 = 16 in.
So 10,000π = π(16^2)h = 256π h ⇒ h = 10,000/256 = 39.0625 in.
Rounded to the nearest hundredth: 39.06 in.