Math, asked by Srashti7204, 1 year ago

the curved surface area of conical tent is 550 sq.m and area of its base is 154 sq.m and find the volume of the air inside the tent

Answers

Answered by Anant02
3

\pi \:  {r}^{2}  = 154 \:  {m}^{2}  \\  {r}^{2}  =  \frac{154 \times 7}{22} = 7 \times 7 \\ r = 7 \: m  \\ \pi \: r \: l = 550 {m}^{2}  \\ l =  \frac{550 \times 7}{22 \times 7}  = 25m \\  {h}^{2}  = {l}^{2}   -  {r}^{2}  = 625 - 49 = 576 \\ h = 24 \\ volume \: of \: air = \pi \:  {r}^{2} h =  \frac{22}{7}  \times 7 \times 7 \times 24 \\  = 3696 {m}^{3}
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