SOLUTION: The height of a cylinder is equal to the length of its diameter. The curved surface area of the cylinder is 100cm squared. Calculate the height

Algebra ->  Surface-area -> SOLUTION: The height of a cylinder is equal to the length of its diameter. The curved surface area of the cylinder is 100cm squared. Calculate the height       Log On


   

Question 1209427: The height of a cylinder is equal to the length of its diameter. The curved surface area of the cylinder is 100cm squared. Calculate the height
Answer by AnlytcPhil(1806) About Me  (Show Source):
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The height of a cylinder is equal to the length of its diameter.  

height%22%22=%22%22diameter%22%22=%22%222%2Aradius

h%22%22=%22%222r

The curved surface area of the cylinder is 100cm squared. 

2%2Api%2Ar%2Ah%22%22=%22%222%2Api%2Ar%2A2r%22%22=%22%224%2Api%2Ar%5E2=100

Calculate the height

First calculate the radius r

4%2Api%2Ar%5E2%22%22=%22%22100
r%5E2%22%22=%22%2225%2Fpi
r%22%22=%22%225%2Fsqrt%28pi%29

h%22%22=%22%222r%22%22=%22%222%285%2Fsqrt%28pi%29%29=10%2Fsqrt%28pi%29

h is approximately 5.641895835 cm. Round as you were told.

Edwin