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2731<br />
π π<br />
R<br />
2<br />
R H = 1, 20<br />
2<br />
r h<br />
2<br />
2<br />
1, 2 π rh<br />
=<br />
π H<br />
R =<br />
2<br />
1, 2rh<br />
H<br />
R =<br />
⋅ ⋅<br />
96<br />
R = 33 cm<br />
2733a<br />
2<br />
1, 2 32 85<br />
VBehållare = πr ⋅ 6r = 6πr<br />
2 3<br />
h<br />
3<br />
3<br />
4π<br />
r<br />
3<br />
4 π (Störst)<br />
VBollar = ⋅<br />
3<br />
= r<br />
V = 6πr − 4πr = 2πr<br />
Luft<br />
3 3 3<br />
2741a<br />
p = 2⋅ 12 + 2⋅ 15 = 54 m<br />
2<br />
Α =12⋅15 =180 cm<br />
2742a<br />
200⋅ 1,45 = 290 kr<br />
2744a<br />
A= 3x⋅ 2x= 6x<br />
2<br />
2745a<br />
Antag att den andra sida är z cm<br />
2z+ 2x= 64<br />
2z = 64−2x z = (32 −x)<br />
cm<br />
2746a<br />
V = 4a⋅3a⋅ 2a= 24a<br />
2747a<br />
12⋅35⋅ 10 = 4200 kr<br />
3<br />
LÖSNINGAR DEL B<br />
2732a<br />
3<br />
4π4 3⋅ = 256 π cm<br />
3<br />
2732b<br />
3<br />
4π6 =<br />
3<br />
3<br />
288 π cm (störst)<br />
2733b<br />
Höjd = 6r<br />
Omkrets = 2 π r (Störst)<br />
2741b<br />
p= 2⋅ x+ 2 ⋅ ( x+<br />
4)<br />
p= 2x+ 2x+ 8 = (4x+ 8) m<br />
A= x( x+<br />
4)<br />
2 2<br />
A= ( x + 4 x)<br />
m<br />
2742b<br />
a⋅ 1,45 = 1,45 a kr<br />
2744b<br />
p = 23 ⋅ x+ 22 ⋅ x= 10x<br />
2745b<br />
y = x⋅z y = x(32 −x)<br />
cm<br />
2746b<br />
S = 2⋅4a⋅ 3a+ 2⋅4a⋅ 2a+ 2⋅3a⋅2a 2<br />
S = 52a<br />
2747b<br />
n ⋅a⋅ t =<br />
nat kr<br />
3<br />
53
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