Multiple choice

The volume of a right circular cylinder can be obtained form its curved surface area by multiplying it by its

  1. $ \dfrac{Radius }{2}$
  2. $ \dfrac{2 }{Radius}$

  3. Height
  4. $2 \times$ height
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A Correct answer
Explanation

The volume of a right circular cylinder is given by pi * r^2 * h, and its curved surface area is 2 * pi * r * h. Dividing the volume by the curved surface area yields r / 2, which is half of the radius. Therefore, multiplying the curved surface area by Radius / 2 gives the volume.

AI explanation

Using the formulas for volume and curved surface area, volume equals pi times radius squared times height, and curved surface area equals 2 times pi times radius times height. Multiplying curved surface area by radius and then dividing by 2 results in pi times radius squared times height. This matches the cylinder volume exactly, meaning volume equals curved surface area multiplied by radius over 2.

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