Mathematics 0580 · IGCSE · Surface area and volume

Surface area and volume — practice question

(a)[3]

Calculate the value of $x$.

(b(i))[2]

Show that the height of the cylinder is $30\,$cm.

(b(ii))[4]

Calculate the volume of the cylinder as a percentage of the volume of the sphere. The volume, $V$, of a sphere with radius $r$ is $V = \frac{4}{3}\pi r^3$.

(c)[3]

Calculate the new depth of water in the cube. The volume, $V$, of a sphere with radius $r$ is $V = \frac{4}{3}\pi r^3$.

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