Reference no: EM131593667

ASSIGNMENT - THE SPHERE

Zone

1. A wooden ball 11.15 in diameter sinks to a depth of 9.37 in. in water. Find the area of the wetted Surface

2. A candle 8 ft 6 in. from the surface of a sphere 12 ft. in diameter Find the area of the surface illuminated.

3. Find the volume of the earth's atmosphere if it extends 50 miles in height and the earth is considered a sphere of 2960- mile radius.

4. What will it cost to gild the surface of a globe whose radius is 11/2 decimeters, at an average cost of 3/5 cent per square centimeter?

5. A top consist of a spherical segment and a cone. If the altitude of the segment is 1 in., the radius of the common base 3 in., and the altitude of the cone 6 in., find: (a) the total surface of the top; (b) the volume of the top.

6. A terrestrial globe is 20 in. in diameter. A plane is passed so as to cut from the globe a circular section 16 in. in diameter. Find the area of the smaller zone determined by this section.