A solid metal cone has radius $$\(1.65 \mathrm{~cm}\)$$ and slant height $$\(4.70 \mathrm{~cm}\)$$. Calculate the total surface area of the cone. [The curved surface area, $$\(A\)$$, of a cone with radius $$\(r\)$$ and slant height $$\(l\)$$ is $$\(A=\pi r l\)$$.] ...................................... $$\(\operatorname{cm}^{2}\)$$

Mathematics
IGCSE&ALevel
CAIE
Exam No:0580_m20_qp_42 Year:2020 Question No:4(a)

Answer:

\(32.9\) or \(32.91\) to \(32.92 \ldots\)

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.)

Solution:

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