Cone and the ratio

The rotational cone has a height 43 cm, and the ratio of the base surface to lateral surface is 5: 7. Calculate the surface of the base and the lateral surface.

Correct answer:

S1 =  6050.84 cm2
S2 =  8471.17 cm2

Step-by-step explanation:

v=43 S1=πr2 S2=πrs  S1:S2=5:7=5/7 πr2πrs=5/7 r/s=5/7 s=r7/5  s2=v2+r2 r272/52=432+r2 r2=18491.961 r2=1926.042 r=1926.042=43.89 cm  s=r7/5=61.44 cm  S1=πr2=π43.892=6050.84 cm2
S2=πrs=π43.8961.44=8471.17 cm2

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