SOLUTION: A right pyramid has a surface area of 210cm2. A right cone has a base radius of 5cm. The cone and the pyramid have equal surface areas. What is the height of the cone to the near

Algebra ->  Formulas -> SOLUTION: A right pyramid has a surface area of 210cm2. A right cone has a base radius of 5cm. The cone and the pyramid have equal surface areas. What is the height of the cone to the near      Log On


   

Question 1050595: A right pyramid has a surface area of 210cm2.
A right cone has a base radius of 5cm. The cone and the pyramid have equal surface areas. What is the height of the cone to the nearest tenth of a​ centimetre?
What is the appropriate formula to solve this?
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

 

S = 210cm^2  and r = 5cm

S = pi%2Ar%5E2+%2B+pi%2Ar%2Asqrt%28r%5E2+%2B+h%5E2%29

%28S+-+pi%2Ar%5E2%29%2F+%28pi%2Ar%29+=+sqrt%28r%5E2+%2B+h%5E2%29

%28%28S+-+pi%2Ar%5E2%29%2F+%28pi%2Ar%29%29%5E2+-+r%5E2+=+h%5E2

Substitute values for S and r 

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