the radius and height of a cone are in the ratio 4:3 the area of its base is 154 find its csa
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Answered by
2
radius:height = 4:3
r=4x; h=3x.
base is circle, area of circle=π*r²=154cm²
22/7*r*r=154(solve it)
r=7cm.
4x=7(as ratio is 4:3) ⇒x=1.75
height=3x=3*1.75=5.25.
C.S.A=π r l
l=∛h²+r²
l=∛(5.25)²+49
l=∛76.5625
l=8.75 cm.
C.S.A=22*8.75*7÷ 7
C.S.A=192.5 cm²
r=4x; h=3x.
base is circle, area of circle=π*r²=154cm²
22/7*r*r=154(solve it)
r=7cm.
4x=7(as ratio is 4:3) ⇒x=1.75
height=3x=3*1.75=5.25.
C.S.A=π r l
l=∛h²+r²
l=∛(5.25)²+49
l=∛76.5625
l=8.75 cm.
C.S.A=22*8.75*7÷ 7
C.S.A=192.5 cm²
Answered by
1
Step-by-step explanation:
then h=7×3by 4.
h=21/4
slant height= 7 Square+21/4
taking L.C.M
784/16+441/16
(L) Square=1226/16
l=√1225/16
l=35/4
curve surface =πrl
22/7×7×53/4
c.s. =385/2
c.s. =192.5 cm square
Hope it helps..
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