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OG2015 DS A circular tub has

This topic has 1 expert reply and 0 member replies
lionsshare Senior | Next Rank: 100 Posts
Joined
09 Aug 2017
Posted:
62 messages

OG2015 DS A circular tub has

Post Sat Sep 16, 2017 2:43 am
Elapsed Time: 00:00
  • Lap #[LAPCOUNT] ([LAPTIME])


    A circular tub has a band painted around its circumference, as shown above. What is the surface area of this painted band?

    (1) x = 0.5
    (2) The height of the tub is 1 meter.

    OA: E

    Hi, Experts! Please share the solution to this problem. Thank you.

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    Post Sat Sep 16, 2017 3:29 am
    lionsshare wrote:


    A circular tub has a band painted around its circumference, as shown above. What is the surface area of this painted band?

    (1) x = 0.5
    (2) The height of the tub is 1 meter.

    OA: E

    Hi, Experts! Please share the solution to this problem. Thank you.
    You must know that the surface area of a cylinder (circular tub) equals to 2πrh, where r = radius of the cylinder and h = height of the cylinder

    Mind that we need not calculate the surface area of a cylinder (circular tub); we are asked to calculate the surface area of the painted band. So, let's treat the band as a small cylinder having its radius = radius of the cylinder = r, and height = x.

    Thus, the surface area of the band = 2πrx

    If we get the values of r and x, we get the answer.

    Statement 1: x = 0.5 meter

    It can't help, we do not have any information about the radius, r. Insufficient.

    Statement 2: The height of the tub is 1 meter.

    This does not help either. We are concerned about the height of the painted band, and not the height of the tub. Insufficient.

    Statement1 & 2:

    Even after combining the two statements, we do not get the value of r. Insufficient.

    The correct answer: E

    Hope this helps!

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