If the height of a cone is increased by 100% then its volume is increased by_________?
Correct answer: A. 100%
- A. 100%
- B. 200%
- C. 300%
- D. 400%
Explanation
A cone's volume is V = 1/3 x pi x r2 x h, so with radius fixed, its volume is directly proportional to its height. Increasing the height by 100% changes h to 2h, making the volume 2V, which is an increase of 100%. Students may choose 200%, option b, by confusing the new volume with the percentage increase.
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About Area and Volume
Area measures the surface enclosed by two-dimensional figures, while volume measures the space occupied by three-dimensional solids. Problems use formulas for rectangles, triangles, circles, prisms, cylinders, cones, spheres, and composite figures, including unit conversion and the distinction between surface area, lateral area, and volume.
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