Mathematics 0580 · IGCSE · Surface area and volume

Surface area and volume — practice question

Made up of a cylinder and a hemisphere, each having radius $4.3\,\text{cm}$. The cylinder has a length of $11.9\,\text{cm}$. The figure represents the solid. NOT TO SCALE. The volume, $V$, of a sphere with radius $r$ is $V = \frac{4}{3}\pi r^3$. The surface area, $A$, of a sphere with radius $r$ is $A = 4\pi r^2$.
(a)[3]

Calculate the volume of this solid.

(b)[4]

Calculate the total surface area of this solid.

Worked solution & mark scheme

This 7-mark question has a full step-by-step worked solution and mark scheme. One marking point: Applies $\frac{1}{2} \times \frac{4}{3} \pi (4.3)^3 + \pi (4.3)^2 \times 11.9$

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