Find the total surface area of solid cone of radius 2√3 3 cm and slanting side 4√3

Assessment: JAMB UTME - Mathematics - 1986 Subject: General Mathematics

Question 1 Report

Find the total surface area of solid cone of radius 2 $\sqrt{3}$ cm and slanting side 4 $\sqrt{3}$

8

\sqrt{3} π

cm2

24

π

cm2

15

\sqrt{3} π

cm2

36

π

cm2

Answer Details

Total surface area of a solid cone
r = 2 $\sqrt{3}$
= $π r^{2}$ + $π$ rH
H = 4 $\sqrt{3}$ , $π$ r(r + H)
∴ Area = $π$ 2 $\sqrt{3}$ [2 $\sqrt{3}$ + 4 $\sqrt{3}$ ]
= $π$ 2 $\sqrt{3}$ (6 $\sqrt{3}$ )
= 12 $π$ x 3
= 36 $π$ cm2

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Circles

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