Answer:
The radius and height of the cone are 3.41 cm and 20.46 cm respectively.
Step-by-step explanation:
Given that,
The volume of a conical candle is 250 cm³.
The height of candle is 3 times of its diameter.
h = 3d (d = 2r, radius)
So,
h = 6r
The formula of volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2h\\\\250=\dfrac{1}{3}\pi \times r^2\times 6r\\\\250=2\pi r^3\\\\r=(\dfrac{250}{2\pi })^{1/3}\\\\r=3.41\ cm[/tex]
Height, h = 6r = 6(3.41) = 20.46 cm
Hence, the radius and height of the cone are 3.41 cm and 20.46 cm respectively.
