Question

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.​

Answer 1

Answer:

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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