A right circular cone has a slant height 3 times the radius of the base. If the area of the curved surface of the cone is 18 cm^2, find the diameter of the base
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Step-by-step explanation:
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Given:
We have given the slant height of cone is 3times radius of base. And the curved surface of the cone is 18.
To Find:
We have to find the diameter of the base?
Step-by-step explanation:
- Let the radius of base of cone be xcm
- Then according to the question slant height is three times the base of radius
- Hence, the slant height is 3x
- Now we have the Curved surface area of cone is 18 square.cm
- We know curved surface area of cone is given by the formula
- Where r is the radius=x, l is the slant height 3x Put these value in above equation we get
- Now simplify the above equation
- Hence the diameter is given by 2 times the radius
Hence, the diameter is .
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