10
AssignmentMultiple Choice

Surface Area

Question 10 • *22SS - 1207350 - Mathematics for College Liberal Arts - Sem. 2 - CR

A perfectly spherical orange is split into four equal sections. If the radius of the orange is 4 centimeters, what is the total surface area of one slice?

Answer
A
16π cm2
B
32π cm2
C
24π cm2
D
64π cm2

Explanation

One slice has one-quarter of the orange’s curved surface area: (1/4)(4π·4²) = 16π cm². It also has two flat cut faces, each a semicircle of radius 4, so together they have area 2[(1/2)π·4²] = 16π cm². The total surface area is 16π + 16π = 32π cm², choice B.

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