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 πrsπr2=5/7 r/s=5/7 s=r7/5  s2=v2+r2 r272/52=432+r2 r2=1.9611849 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



Did you find an error or inaccuracy? Feel free to write us. Thank you!










Tips to related online calculators
Check out our ratio calculator.
Pythagorean theorem is the base for the right triangle calculator.
See also our trigonometric triangle calculator.

 
We encourage you to watch this tutorial video on this math problem: video1   video2

Related math problems and questions: