52,100 views
9 votes
9 votes
Answers:
A.113 cm^3
B.141 cm^3
C.565 cm^3
D.126 cm^3

Answers: A.113 cm^3 B.141 cm^3 C.565 cm^3 D.126 cm^3-example-1
User Eloone
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1 Answer

14 votes
14 votes

Answer:

D. 126 cm³

Explanation:

The formula for the volume of a cylinder in terms of its diameter can be written as ...

V = (π/4)d²h

The difference between the volume of the overall cylinder and the volume of the hole is ...

V = V2 -V1 = (π/4)(d2²)h -(π/4)d1²)h = (π/4)(d2² -d1²)h

V = (π/4)((6 cm)² -(2 cm)²)(5 cm) = (π/4)(36 -4)(5) cm³ = 40π cm³ ≈ 126 cm³

The volume of the solid cylinder with a hole in it is about 126 cm³.

User Torrence
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