Answer:
13.95 cm
Step-by-step explanation:
the volume of the cone =
⅓× π r². h = 180 π
⅓×π r²×15 = 180 π
(eliminate π)
=> 5r² = 180
r² = 180/5 = 36
r=√36 = 6 cm
the volume of the sand = ½×4/3 π r³
= ⅔× π ×6³ = 144π cm³
the ratio of the volume :
144π/180π = 0.8
so the value of h = ³√0.8 x 15 = 0.93× 15
= 13.95 cm