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Find the volume of a cylinder whose base radius is 4 cm and height is 10 cm.

A. 402 cmยณ
B. 462 cmยณ
C. 502 cmยณ
D. 902 cmยณ
Correct Answer: C. 502 cmยณ

The volume of a cylinder is a fundamental concept in geometry, calculated using its radius and height.

  • Correct Answer: 502 cmยณ. The formula for the volume of a cylinder is V = ฯ€rยฒh. Given the base radius (r) is 4 cm and the height (h) is 10 cm, we substitute these values: V = ฯ€ * (4 cm)ยฒ * 10 cm = ฯ€ * 16 cmยฒ * 10 cm = 160ฯ€ cmยณ. Using the approximation ฯ€ โ‰ˆ 3.14, the volume is approximately 160 * 3.14 = 502.4 cmยณ. Option C is the closest whole number.
  • Distractors A, B, and D represent incorrect calculations, possibly due to using a wrong formula, incorrect values, or different approximations for ฯ€.

Accurate application of geometric formulas is key to solving such problems.

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