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a sphere with a radius of 15cm has the same volume as a cylinder with a radius of 5 cm.what is the height od the cylinder

Respuesta :

Answer:

180cm

Step-by-step explanation:

Vol of sphere = (4/3) pi r^3 and vol of cylinder = pi r^2 h

so

(4/3) pi 15^3 = pi (5)^2 h

(4/3) * 15^3 = 25h

h =  [(4/3) * 15^3 ] / 25  =  180 cm

Step-by-step explanation:

according to the question,

vol.of sphere = vol of cylinder

4/3πR³=πr²h

refer to the attached file.

thanks for the question!!

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