Question

Select the correct answer.
the shape of a capsule consists of a cylinder with identical hemispheres on each end. the diameter of the hemispheres is 0.5 inches.


what is the surface area of the capsule? round your answer to the nearest hundredth.

a.
6.28 in2
b.
3.14 in2
c.
3.93 in2
d.
7.85 in2

Answer 1

The surface area of the capsule is 2.36in^2.

We have given that,

diameter=0.5 inches

radius=dimeter/2=0.5/2=0.25

$\pi =3.14$

What is the formula for the surface area?

Surface area=2(curved surface area of the hemisphere)+curved surface area of the cylinder.

$=2(2\pi r^{2})+2\pi rh\\ =4\pi r^{2}+2\pi rh\\=4(3.14)(0.25)^2+2(3.14)(0.25)(1)\\=0.785+1.57\\=2.36$

Therefore the surface area of the capsule is 2.36in^2.

To learn more about the surface area visit:

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