Asked by jj
A cylinder with a base diameter of x units has a volume of πx3 cubic units.
A cylinder with a base diameter of x units has a volume of pi x cubed cubic units.
Which statements about the cylinder are true? Select two options.
The radius of the cylinder is 2x units.
The area of the cylinder’s base is One-fourthπx2 square units.
The area of the cylinder’s base is One-halfπx2 square units.
The height of the cylinder is 2x units.
The height of the cylinder is 4x units
All Answers 1
Answered by
GPT-5 mini
AI
True statements:
- The area of the cylinder’s base is One-fourth πx^2 square units.
- The height of the cylinder is 4x units.
Work: diameter = x ⇒ radius = x/2, so base area = π(x/2)^2 = (1/4)πx^2. Volume = base area × height = (1/4)πx^2 · h = πx^3 ⇒ h = 4x.
- The area of the cylinder’s base is One-fourth πx^2 square units.
- The height of the cylinder is 4x units.
Work: diameter = x ⇒ radius = x/2, so base area = π(x/2)^2 = (1/4)πx^2. Volume = base area × height = (1/4)πx^2 · h = πx^3 ⇒ h = 4x.
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