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Question

The radius and height of a cone are in the ratio 4: 3. The area of the base is 154 cm2. The area of the curved surface of cone is ___


A
192.5 cm2
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B
212.5 cm2
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C
100.5 cm2
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D
102.5 cm2
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Solution

The correct option is A 192.5 cm2

Given, Solid:Cone
Height of cone =h
Radius of base =r
rh=43

Base area, πr2=154
r=7 cm

So,
h=34×7=214

Length of cone, l=(h2+r2)=354

So, curved surface area of cone =πrl=227×(7)×354=192.5 cm2


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