How much ground does it cover?

Question

a conical pile of sand 6ft. in height has a volume of 27 cu. ft. If the bottom of the pile is on level ground, how much ground does it cover?

(pls. show your solutions)

(thanks...)

Answer 1

In general, the volume of a cone is given by the equation:

V=(1/3)*pi*r^2*h, where Vis volume, r is radius, and h is height

Substitute in what is given:

27=(1/3)*pi*r^2*6

Now give in terms of r^2:

r^2=27/((1/3)*pi*6)

r^2=486*pi

r=sqrt(486*pi)=39.0745

Now area of a circle, i.e. the base of the cone, is given as A=pi*r^2

A=pi*(486*pi)

A=486*pi^2 square feet!

A=4796.63... square feet

Good luck.