The medicine capsule shown consists of a cylinder with a hemisphere at each end. The total length of the capsule is 15 millimeters. The diameter is 5 millimeters. Which choice is the best approximation of the total surface area of the capsule? Use 3.14 to approximate pi.

Verified Answer :

take it apart mentally
cylinder+2hemispheres
2hemispheres=2half spheres=1 sphere

15=radius of sphere+legnth of cylinder+radius of spehre

diameter=5
d/2=5/2=r
15=2.5+legnth+2.5
10=legnth of cylinder

surface area of sphere=4pir^2
surface area of cylinder (not including bases) is pidh

sphere radius=2.5
SA=4pi2.5^2
SA=4pi6.25
SA=25pi
SA=78.5

sphere area
SA=5pi10
SA=50pi
SA=157

add them
78.5+157=235.5 mm^2

Answer:

236 square millimeters

Step-by-step explanation:

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