Multiple choice

The height of a right circular cylinder is 12.6 cm. Find the volume of the cylinder, if three times the sum of areas of its two circular faces is twice the area of its curved surface.

  1. 11,177 cu. cm

  2. 2,794 cu. cm

  3. 698 cu. cm

  4. 14,145 cu. cm

  5. -

Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

Given height h = 12.6, the condition is 3 * (2 * pi * r^2) = 2 * (2 * pi * r * h). Simplifying, 6 * pi * r^2 = 4 * pi * r * h, which leads to 3r = 2h. Thus, r = (2 * 12.6) / 3 = 8.4. The volume is pi * r^2 * h = pi * (8.4)^2 * 12.6, which is approximately 2794.