How many shots of 1cm radius can be prepared from a sphere of 3cm radius?
Correct answer: C. 27
- A. 36
- B. 64
- C. 27
- D. 16
Explanation
The number of smaller spherical shots is the ratio of volumes, not the ratio of radii. With radii 3 cm and 1 cm, the number is (3 cm / 1 cm)3 = 27 shots. Students may choose 9, which is not listed, by using an area ratio, or 36, option a, through an arithmetic error.
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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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