A cone with radius 5 units is shown below. Its volume is 105 cubic units. Find the height of the cone.

Answer:height of the cone  = 4.01273885 unitsStep-by-step explanation:Volume of a cone(V) is given by:[tex]V = \frac{1}{3} \pi r^2h[/tex]             ....[1]where, r is the radius and h is the height of the cone.As per the statement:A cone with radius 5 units and ts volume is 105 cubic units⇒r = 5 units and V = 105 cubic unitsSubstitute these given values and use [tex]\pi = 3.14[/tex] in [1] we have;[tex]105 = \frac{1}{3} \cdot 3.14 \cdot 5^2 \cdot h[/tex]Multiply both sides by 3 we have;⇒[tex]315 = 78.5 \cdot h[/tex]Divide both sides by 78.5 we have;[tex]4.01273885 = h[/tex]orh = 4.01273885 unitsTherefore, the height of the cone is, 4.01273885 units