Question

15th plz for brainiest

Answer 1

Total area of cloth required for making conical cap:
$550 {cm}^{2}$
so,C.S.A of cone=
$550 {cm}^{2}$
C.S.A=
$\pi \times r \times l$
'l' is slant height which is given=25 cm

so,
$\pi \times r \times l = 550 {cm}^{2} \\ \pi \times r \times 25 = 550 \\ \pi \times r = 550 \div 25 \\ \pi \times r = 22 \\ r = 22 \div \pi \\ r = 7cm$

we get the radius of cone which is 7 cm, and slant height=25 cm

so,
${l}^{2} = {h}^{2} + {r}^{2} \\ {25 }^{2} = {h}^{2} + {7}^{2} \\ 625 = {h}^{2} + 49 \\ {h}^{2} = 625 - 49 \\ {h}^{2} = 576 \\ h = \sqrt{576} \\ h = \sqrt{24 \times 24} \\ h = 24cm$


HOPE IT HELPS YOU!