SOLUTION: A cylindrical drum has a diameter of 3 yards and a volume of 65 cubic yards. What is the height of the drum? (Hint: Use V = пr2h)

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Question 295688: A cylindrical drum has a diameter of 3 yards and a volume of 65 cubic yards. What is the height of the drum? (Hint: Use V = пr2h)

Answer by Deina(147) About Me  (Show Source):
You can put this solution on YOUR website!
A cylindrical drum has a diameter of 3 yards and a volume of 65 cubic yards. What is the height of the drum? (Hint: Use V = pi%2Ar%5E2h )

/***************************/
Variables Used

  • V = volume

  • d = diameter

  • r = radius

  • h = height

/***************************/
As you stated, the volume of a cylinder is found with +V+=+pi%2Ar%5E2h+

We know V = 65 and we know d = 3.
Since the radius = 1/2 diameter, (r) = 1 1/2 or 3/2

To separate h, we will change the +V+=+pi%2Ar%5E2h+:
Divide both sides by +pi%2Ar%5E2+ so
+V%2F%28pi%2Ar%5E2%29+=+%28cross%28pi%2Ar%5E2%29h%29%2Fcross%28pi%2Ar%5E2%29+=+h+ so from

+V%2F%28pi%2Ar%5E2%29+=+h+ we substitute 65 for V and 3/2 for r giving us:

+65%2F%28pi%2A%283%2F2%29%5E2%29+=+h+ giving a decimal approximation of h as 9.1956 yards
& bob's your uncle!