Volume and Area Questions (Geometry)

38. if the circumference of a great circle of the Earth is about 40,000 km. the atmosphere of the Earth has an altitude of about 550 km. Find the volume of the Earth and its atmosphere. 39. A steel gas tank has the shape of a sphere. A radius of the inner surface of the tank is 2 feet long. The tank itself is made of 1/4 ...continues

How does the surveyor make ABC similar to EDC?

Surveying: Surveyors sometimes use similar triangles to measure inaccessible distances. A surveyor could find distance AB by setting up similar triangles ABC and EDC. Assuming all lengths may be directly measured to set up a proportion and solve for AB. 17. How does the surveyor make ABC similar to EDC? 18. Set up a prop ...continues

Value of Gold Figure/Volume of Water

#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 lar ...continues

Height, Volume and Diameter Calculations

Two similar cones have surface areas of 225 cm^2 and 441 cm^2. 32. If the height of the larger cone is 12 cm, find the height of the smaller cone. 33. If the volume of the smaller cone is 250 cm^3, find the volume of the larger cone. 34. A leg bone of a horse has a cross-sectional area of 19.6 cm^2. What is the diameter of th ...continues

Calculating Volume, Height, Circumference and Area

Please complete the attached and explain steps or formulas: 12 their volumes 15 their volumes 20. Two similar cylinders have bases with areas 16 cm sq. 2 and 49 cm sq. 2 . If the larger cylinder has height 21 cm, find the height of the smaller cylinder. 22. their volumes 23. the areas of their bases 25. their volumes 26. ...continues

Volume of a Torus

Volume of a Torus. See attached file for full problem description.

Isosceles Triangle

In triangle ABC, AC = BC. The point D is on BC such that AB = AD = DC. Compute the measure of angle C.

Circle Problem

See attached file for full problem description.

Geometry Circle Project

See attached file for full problem description.

Geometry Circle Problems

Trochoids, Brachistochrone Problem, Envelope of a Family of Curves, Involute of a Circle, and Pencil of Circles. See attached file for full problem description.