The diagram shows a sector of a circle with centre $$$O$$$, radius $$$8 \mathrm{~cm}$$$ and sector angle $$$165^{\circ}$$$. A cone is made from the sector by joining $$$O A$$$ to $$$O B$$$. Calculate the volume of the cone. [The volume, $$$V$$$, of a cone with radius $$$r$$$ and height $$$h$$$ is $$$V=\frac{1}{3} \pi r^{2} h$$$.] ...................................... $$$\mathrm{cm}^{3}$$$

Mathematics

IGCSE&ALevel

CAIE

Exam No：0580_s20_qp_41 Year：2020 Question No：9(c)(ii)

Answer:

100 or $100.0$ to $100.1 \ldots$ final answer

Knowledge points:

E5.4.1 Carry out calculations involving the surface area and volume of a cuboid, prism and cylinder. (Answers may be asked for in multiples of π.)

E5.4.2 Carry out calculations involving the surface area and volume of a sphere, pyramid and cone. (Formulae will be given for the surface area and volume of the sphere, pyramid and cone in the question.)

E6.2.1 Apply Pythagoras’ theorem and the sine, cosine and tangent ratios for acute angles to the calculation of a side or of an angle of a right- angled triangle. (Angles will be quoted in degrees. Answers should be written in degrees and decimals to one decimal place.)

E6.2.2 Solve trigonometric problems in two dimensions involving angles of elevation and depression.

E6.2.3 Know that the perpendicular distance from a point to a line is the shortest distance to the line.

Answer:

Knowledge points:

Solution:

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