A piece of solid, spherical glass has a circumference of 18.84 centimeters. The sphere is cut in half, creating two identical hemispheres. Using 3.14 for π, Tran computes the amount of paint needed to cover the sphere. Which statement about the amount of paint found by Tran is true?Tran found the minimum amount of paint needed to cover the curved surface of a hemisphereTran found the minimum amount of paint needed to cover the entire surface of one of the hemispheres.Tran found the minimum amount of paint needed to cover both hemispheres.Tran found the minimum amount of paint needed to cover the bases of both hemispheres.
Question
Answer:
we know thatthe sphere is divided into two hemispheres
the two hemispheres are equals
if Tran computes the amount of paint needed to cover the sphere
therefore
Tran computes the amount of paint needed to cover both hemispheres.
the answer is
Tran found the minimum amount of paint needed to cover both hemispheres.
[surface area of sphere]=4*pi*r²
[surface area of each hemisphere]=2*pi*r²
circumference=18.84 cm------> 2*pi*r------> r=18.84/(2*pi)------> 3cm
[surface area of each hemisphere]=2*pi*3²---------> 56.52 cm²
surface area of sphere=2*56.52=113.04 cm²
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