STEP 1: find side a
To find side a use formula:
d=2⋅a After substituting d=16.28cm we have:
16.28cm=2⋅a a=216.28cm a≈11.5117cm STEP 2: find slant height s
To find slant height s use Pythagorean Theorem:
s2+4a2=e2After substituting a=11.5117cm and e=16cm we have:
s2+4(11.5117cm)2=(16cm)2 s2+4132.5192cm2=(16cm)2 s2+33.1298cm2=(16cm)2 s2=256cm2−33.1298cm2 s2=222.8702cm2 s=222.8702cm2s=14.9288cm STEP 3: find lateral surface L
To find lateral surface L use formula:
L=2⋅a⋅sAfter substituting a=11.5117cm and s=14.9288cm we have:
L=23.0234cm⋅14.9288cmL=343.7126cm2
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