The slant height and height of a cone are in the ratio 4:3. The area of the
base is 154 cm'. Find curved surface area of the cone.
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Step-by-step explanation:
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
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