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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


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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