Multiple choice

Find the radius of cone with volume 134 cm3 and height 10 cm. (Use pi = 3.14)

  1. 3.6 cm

  2. 5.9 cm

  3. 8.5 cm

  4. 9.7 cm
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A Correct answer
Explanation

Volume of cone = (1/3) * pi * r^2 * h. 134 = (1/3) * 3.14 * r^2 * 10. 134 = 10.466 * r^2. r^2 = 134 / 10.466 = 12.8. r = sqrt(12.8) = 3.577, which rounds to 3.6 cm.

AI explanation

The volume of a cone equals one third times pi times radius squared times height. Setting this equal to 134, we have one third times 3.14 times radius squared times 10 equals 134, making the squared radius equal to 402 over 31.4, which is approximately 12.8. Taking the square root gives a radius of approximately 3.6 cm.

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