## A cone has a volume of 4000cm3 . Determine the height of the cone if the diameter of the cone is 30 cm.

Question

A cone has a volume of 4000cm3

. Determine the height of the cone if the diameter of the cone

is 30 cm.

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Mathematics
2 weeks
2021-07-19T23:03:33+00:00
2021-07-19T23:03:33+00:00 1 Answers
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## Answers ( )

Answer:17cm

Step-by-step explanation:Given that the Volume of a cone is 4,000 cm³. And we need to determine the height of the cone , if the diameter is 30cm .

Diagram:–Step1:Usingtheformulaofcone:–The volume of cone is ,

Step2:Substitutetherespectivevalue:–As Radius is half of diameter , therefore here r = 30cm/2 = 15cm .

Step3:SimplifytheRHS:–Step4:Movealltheconstantnos.toonesideHencetheheightoftheconeis17cm.