Need Geometry help with the surface area of a figure

Mathematics
Tutor: None Selected Time limit: 1 Day

Nov 14th, 2015

Thank you for the opportunity to help you with your question!

We see this is a cylinder with total surface area = 461.8 sq. mm.

Diameter 14 mm.

Surface Area = (base area) + (base area) + (lateral area)

Surface Area = (pi * r*r) + (pi * r*r) + ( pi*d * h)

where  r = radius of circle base,  d = diameter of the circle base

and h = height of the cylinder.

d = 14 mm.  then the radius is half of the diameter, so r = 7 mm.

Plug it into the formula

461.8 = 3.1415926* 7*7 + 3.1415926*7*7 + 3.1415926*14*h

461.8 =  307.87608 +  43.98229 * h

153.92392/ 43.98229 = h

h = 3.4996 mm.

Answer Choice C.) 3.5 mm.

Please let me know if you need any clarification. I'm always happy to answer your questions.
Nov 14th, 2015

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