Multiple choice

A beverage company produces two models of cylindrical storage tanks. Each tank has a height of 60 centimeters. The radius of the smaller tank is 20 centimeters, while the radius of the larger tank is 20% greater than that of the smaller tank. What is the volume, in cubic centimeters, of the larger tank?

  1. 28,800π

  2. 30,000π

  3. 32,400π

  4. 34,560π
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The smaller tank radius is 20 cm. The larger tank radius is 20% greater, so 20 * 1.20 = 24 cm. The volume of a cylinder is pi * r^2 * h. For the larger tank, V = pi * 24^2 * 60 = pi * 576 * 60 = 34,560pi.

AI explanation

Since the larger tank has a radius 20 percent greater than the smaller tank, its radius is 24 cm. The volume of a cylinder is found by the formula pi r squared h. Substituting the larger tank's radius of 24 and height of 60 gives pi times 24 squared times 60, which equals 34560 pi cubic cm.

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