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)
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