#1 in attachment
the solid is made of gold worth $253.75 per ounce
One cubic foot weighs 4 pounds. How much is the value of this gold figure?
Be careful of the units of measure
#3 in attachment
Triangle ABC is an equilateral triangle with side of 12.
A cone is formed by revolving that triangle above an altitude
The largest possible sphere is placed inside of the cone as shown. The sphere touches the sides of the cone and it also touches the top (base) of the cone.
What is the volume of water necessary to fill the cone around the sphere?
Hint: Think about the cross section perpendicular to the base at AB.
Unit Conversions, Spheres and Cones are investigated.