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{:[LA=pi rl],[SA=pi rl+pir^(2)]:} r= radius l= slant height

LA=πrlSA=πrl+πr2 \begin{array}{c} L A=\pi r l \\ S A=\pi r l+\pi r^{2} \end{array} \newliner= r= radius\newlinel= l= slant height

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Full solution

Q. LA=πrlSA=πrl+πr2 \begin{array}{c} L A=\pi r l \\ S A=\pi r l+\pi r^{2} \end{array} \newliner= r= radius\newlinel= l= slant height
  1. Identify Formula for Lateral Area: Identify the formula for the lateral area (LA) of a cone. LA=π⋅r⋅lLA = \pi \cdot r \cdot l
  2. Calculate Lateral Area: Calculate the lateral area using the given values of rr and ll. Assume r=5r = 5 cm and l=12l = 12 cm. LA=π×5×12=60πLA = \pi \times 5 \times 12 = 60\pi cm2^2
  3. Identify Formula for Surface Area: Identify the formula for the surface area (SA) of a cone. SA=π⋅r⋅l+π⋅r2SA = \pi \cdot r \cdot l + \pi \cdot r^2
  4. Calculate Surface Area: Calculate the surface area using the given values of rr and ll.SA=π×5×12+π×52=60π+25π=85π cm2SA = \pi \times 5 \times 12 + \pi \times 5^2 = 60\pi + 25\pi = 85\pi \, \text{cm}^2

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