Given,
Slant height of right circular cone (l1)=9ft
Base radius (r1)=5ft
and (r2)=7ft
a) Lateral area of the frustum =π(r2−r1)l1
=3.14(7−5)×9=3.14×2×9=59.52ft2
b) Altitude of the frustum
h′=(92−42)=77=8.87ft
cos(θ)=l1r2−r1=97−2=92⇒θ=cos−1(92)⇒θ=77.16∘
c) Altitude of the cone complete cone
So, tan(θ)=7h
h=tan(77.16)×7=30.7ft
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