Multiple choice

Find the volume of right circular cone $1.02\ m$ high, if the radius of its base is $28\ cm$.

  1. $83776\ {cm}^{3}$
  2. $73676\ {cm}^{3}$
  3. $82546\ {cm}^{3}$
  4. $82776\ {cm}^{3}$
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A Correct answer
Explanation

Volume = (1/3)pi*r^2*h. r = 28 cm, h = 102 cm. V = (1/3)(22/7)*28*28*102 = 83776 cm^3.

AI explanation

Using the volume of a cone formula, V = (1/3) * pi * r^2 * h, we first convert the height to 102 cm. Substituting the radius r = 28 and height h = 102, we calculate V = (1/3) * (22/7) * 28 * 28 * 102. Solving this gives (1/3) * 88 * 28 * 102, which equals 83776 cubic cm.