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ACT
ACT Math Section

Radius of Cylinder Base Calculation

Hard Preparing For Higher Math Number And Quantity

A cylinder has a volume of 150 cubic units and a height of 5 units. The formula for the volume of a cylinder is given by:

$$ V =\frac{1}{3} imes ext{Base Area} imes ext{Height} $$

The base area can be calculated as:

$$ ext{Base Area} =\frac{V}{H} $$

Determine the radius of the cylinder's base. Assume the base is a circle, and use the formula for the area of a circle:

$$ A = ho r^2 $$

Where:

  • $$ V $$ is the volume,
  • $$ H $$ is the height,
  • $$ r $$ is the radius, and
  • $$ A $$ is the area of the base.

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