CAIE A-Level Physics AS M 3 Geometry Tri…Vectors

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The radius of a small sphere is determined from a measurement of the volume of the sphere. The sphere is submerged in water, displacing some of the water into a measuring cylinder as shown in Fig. 1.1.

Fig. 1.1 (not to scale)

The measured volume of displaced water is $(28.0 \pm 0.5) \mathrm{cm}^{3}$ .
Calculate:

the radius, in cm , of the sphere

radius =cm [1]

$\begin{aligned} r =[(3 \times 28) / 4 \pi]^{1 / 3} =1.9 \mathrm{~cm} \end{aligned}$

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CAIE A-Level Physics AS M 3 Geometry Trigonometry and Vectors Topic Practice

Question 1