Oblicz pole powierzchni całkowitej stożka , którego obwód podstawy wynosi 62,8 cm , a jego wysokość - 15 cm. przyjmuj , że pi =3,14
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Pc = Pb + Pp
Pc = πr^2 + π rl
2π r = 62.8
π r = 31.4
r = 10
10^2 + 15^2 = l^2
100 + 225 = l^2
l^2 = 325
l = 5 pierwiastkow z 13
Pc = πr^2 + π rl
Pc = 3.14 * 100 + 31.4 * l
Pc = 314 + 31.4 * 5 pierwiastkow z 13
Pc = 314 + 157pierwiastkow z 13 cm^2
L = 2
r
62,8= 2* 3,14 * r
62,8 = 6,28 * r |: 6,28
10 = r
h = 15cm
r = 10cm
l = ?
225 + 100 = l^{2}[/tex]
325 = l^{2}[/tex]
l =![\sqrt{325} \sqrt{325}](https://tex.z-dn.net/?f=%5Csqrt%7B325%7D)
Pc =
= ![\pi 100 + \pi 100 +](https://tex.z-dn.net/?f=%5Cpi+100+%2B+)
![\pi 10 * 13 = 100\pi + 130\pi = 230\pi \pi 10 * 13 = 100\pi + 130\pi = 230\pi](https://tex.z-dn.net/?f=%5Cpi+10+%2A+13+%3D+100%5Cpi+%2B+130%5Cpi+%3D+230%5Cpi)
Pc = 240
= 240 * 3,14 = 753,6 cm^2