Math, asked by lovelyboy4, 1 year ago

the volume of space inside the right circular conical tent is 22m^3 and its vertical height is 3m. Find the curved surface area of conical tent.

Answers

Answered by BEJOICE
37
Let r be the radius
height, h = 3 m
volume \: =   \frac{1}{3} \pi {r}^{2} h  \\ \frac{1}{3}  \times  \frac{22}{7}  \times  {r}^{2} \times 3 = 22 \\  r =  \sqrt{7} \: m \\  \\ slant \:  \: height \:  \: l =  \sqrt{ {r}^{2}  +  {h}^{2} }  \\  =  \sqrt{ {( \sqrt{7} )}^{2} +  {3}^{2}  }  = 4 \: m \\ curved \:  \: surface \:  \: area = \pi \times r \times l \\  =  \frac{22}{7}  \times  \sqrt{7}  \times 4 = 33.26 \:  {m}^{2}
Answered by Mayur19818212089
4

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