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Mathematics 8 Online
OpenStudy (31356):

The picture shows 3 steel rods. The rods are congruent, solid cylinders. The area of the top of the one rod is 7.07 square centimeters. The area of the body of one rod is 39.58 square centimeters. Find the total surface area of the 3 rods. MEDAL REWARDED!!

OpenStudy (31356):

A)53.72 B)46.65 C)139.95 D)161.65

OpenStudy (31356):

I know it is either C or D

OpenStudy (31356):

@jim_thompson5910

OpenStudy (31356):

@Preetha

OpenStudy (31356):

@thomaster

OpenStudy (31356):

@e.mccormick

OpenStudy (31356):

Any ideas?

jimthompson5910 (jim_thompson5910):

Are you able to upload the picture?

OpenStudy (31356):

Yes..wait for a while

jimthompson5910 (jim_thompson5910):

alright

OpenStudy (31356):

Here it is

OpenStudy (31356):

Just 3 steel rods.

jimthompson5910 (jim_thompson5910):

So it looks like the bottoms aren't included

jimthompson5910 (jim_thompson5910):

If that's the case, then the surface area of one rod is 7.07+39.58 = 46.65

jimthompson5910 (jim_thompson5910):

There are 3 of these congruent cylinders. So 3*46.65 = 139.95 is the total area

OpenStudy (31356):

Actually D is the correct answer, but thanks.

jimthompson5910 (jim_thompson5910):

hmm I guess the bottoms were included

OpenStudy (31356):

Yes

jimthompson5910 (jim_thompson5910):

The problem with that logic is that 2*7.07+39.58 = 53.72 is the SA for one rod so 3*53.72 = 161.16 is the total SA for all 3 combined But that's not equal to D

OpenStudy (31356):

Can you help me with this problem?

OpenStudy (31356):

The area of a cylinder's base is 706.5 square millimeters. The cylinder's lateral area is 471 square millimeters. What is the total surface area of the cylinder, in square centimeters?

jimthompson5910 (jim_thompson5910):

Total Surface Area = 2*(Area of Base) + (Lateral Surface Area)

OpenStudy (31356):

A)18.84 B)188.4 C)1884 D)18840

jimthompson5910 (jim_thompson5910):

Total Surface Area = 2*(Area of Base) + (Lateral Surface Area) Total Surface Area = 2*(706.5) + (471) Total Surface Area = 1884

OpenStudy (31356):

Thanks

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