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Question

The radius and height of a cone are in the ratio 4:3. The area of the base is 616 cm2. The area of the curved surface (in cm2) of the cone is _____. (Given π = 227)

A
670
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B
770
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C
870
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D
970
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Solution

The correct option is B 770

Given,
rh = 43

Base area = πr2

πr2=616

227×r2=616

r2=196

r=14 cm

So,
h=34×14=212=10.5 cm

l=h2+r2

l=10.52+142

l=352=17.5 cm

So, curved surface area
=πrl

=227×14×352

=770 cm2


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