A container in the shape of a cone has a volume of 40 cubic units. Its base has an area of 15 square units. What is the height of the container?

h  =  2,67  units of length

Step-by-step explanation:

Volume of a cone is  

V(c) = 1/3*π*r²

Where  π*r² is area of the base

we know   V(c)  = 40 cubit units, and area of the base 15 square units, then

V(c)  =  Area of the base * h  (height of the cone )

V(c)  = 15 * h

h  = V(c) / 15   ⇒   h  =  40 / 15  ⇒   h  =  2,67  units of length

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

8987678

step-by-step explanation: