The slant height of a cone is 8.45cm
and the diameter of the base is 14cm.
Calculate, three significant figures, the
curved surface area of the cone (Take
= 22÷7

Respuesta :

[tex]\bf \underline{ \underline{Given : }}[/tex]

  • Slant height,l = 8.45 cm

  • Diameter of base = 14 cm

[tex]\bf \underline{ \underline{To \: be \: calculated : }}[/tex]

Calculate the curved surface area of the cone .

[tex]\bf \underline{ \underline{Formula \: applied : }}[/tex]

Curved surface area of cone = πrl

[tex]\bf \underline{ \underline{Solution : }}[/tex]

First of all,

Radius = Diameter/2

=> Radius,r = 14/2

=> Radius,r = 7 cm

Now,

[tex] \sf{Curved \: surface \: area \: of \: cone =\pi rl}[/tex]

[tex] \sf \: \implies \: \dfrac{22}{ \cancel7} \times \cancel7 \times 8.45[/tex]

[tex] \sf\implies22 \times 8.45[/tex]

[tex] \sf \implies 185.9 \: {cm}^{2} [/tex]

Hence,the Curved surface area of cone is 185.9 cm².

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