Question

What is the height of the cone below?

Answer 1

The formula of a volume of a cone:

$V=\dfrac{1}{3}Bh[/rex]B - area of a baseh - heightWe have[tex]V=90\ cm^3,\ B=18\ cm^2$

Substitute:

$90=\dfrac{1}{3}\cdot18\cdot h\\\\90=6h\qquad|\text{divide both sides by 6}\\\\15=h\to h=15$

Answer: 15 cm.