Math, asked by salonibhosle1134, 10 months ago

The circumference of the base of a right circular cone is 44 cm and its slant height is 14 cm. Its curved surface area is:

Answers

Answered by CharmingPrince
0

Answer:

GIven:

  • Circumference= 44 \ cm
  • H = 14 \ cm

Solution:

Circumference = 44 \ cm

2 \pi r = 44

\implies r = \dfrac{22}{\pi}

\implies r = \cancel{\dfrac{22}{22} }^{{}^{{}^1}}\times 7 =7 \ cm

Finding l:

l^2 = h^2 + r^2

\implies l^2 = (14)^2 + 7^2

\implies l^2 = 196 + 49

\implies l^2 = 245

\implies l = 7\sqrt5

\boxed{\boxed{C.S.A \ of \ cone = \pi rl}}

\therefore C.S.A = \dfrac{22}{7} \times 7\sqrt5 \times 7

\boxed{\implies{\boxed{ C.S.A = 154\sqrt5 \ cm^2}}}

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