CONGRATULATIONS TO THE FOLLOWING PASSERS:
1. GURRO, Ferlin Grace D.-------1.25
2. DAQUAIDO, Dimas Jr. N.-------1.75
3. ZOSA, Jose Christian M.------1.75
4. MURILLO, Christer Allan P.---1.75
5. ROSADO, Reymark C.-----------1.75
6. ADAMI, Mary Ann B.-----------2.0
7. SOCORIN, Rexford B.----------2.5
8. ADAMI, Rachiel H.------------2.5
9. MARCELLA, Romnick A.---------2.75
10. ALCAREZ, Ted Edward S.------2.75
11. LOPEZ, John Irish P.--------2.75
12. DAMAYO, Ted S.--------------2.75
13. CANTOS, Joebert S.----------2.75
14. SANDOVAL, Richard T.--------3.0
15. MONTEJO, Jestoni B.---------3.0
16. MACAWADIB, Jamael P.--------3.0
--------NOTHING FOLLOWS------------
The rest are either REMOVAL OR FAILED.
SUMMARY:
NUMBER OF PASSERS = 16
NUMBER OF REMOVALS = 16
NUMBER OF FAILURES = 2
COVERAGE: COMPLEX NUMBER TO EIGENVECTORS
SCHED: MONDAY, MARCH 18, 2013
TIME: 9:00 AM
ROOM: E 208
Tuesday, March 12, 2013
Sunday, March 10, 2013
Problem Set Batch 2
I lost connection last night. Here is the 2nd batch of problems. I'll be taking 9/20 problems. Enjoy solving....
11. Determine the volume of a right truncated triangular prism with the following definitions: Let the corners of the triangular base be defined by A, B, and C. The length of AB = 10 ft., BC = 9 ft., CA = 12 ft. The sides A, B, and C are perpendicular to the triangular base and have the height of 8.68 ft., 7.1 ft. and 5.5 ft. respectively. Ans. 311 ft3
12. A circular cylinder is circumscribed about a right prism having a square base one meter on an edge. The volume of the cylinder is 6.283 cu.m. Find its altitude in meters. Ans. 4m
13. The bases of a right prism is a hexagon with one of each side is equal to 6 cm. The bases are 12 cm apart. What is the volume of the right prism? Ans. 1122.4 cm3
14. A circular cylinder with a volume of 6.54 cu. m. is circumscribed about a right prism whose base is an equilateral triangle of a side 1.25 m. What is the altitude of the cylinder in meters? Ans. 4
15. The central angle of a spherical wedge is 1 radian. Find its volume if its radius is 1 unit. Ans. 2/3
16. The volume of water in a spherical tank having a diameter of 4 m is 5.236 m3. Determine the depth of the water in the tank. Ans. 1m
17. Water is poured to a depth of 12 cm into a hemispherical bowl of radius 20 cm. Find the volume of the water. Ans. 2304π cm3
18. A hemisphere whose radius is 12 inches is surmounted by a right circular cone with the same radius and an altitude of 15 inches. Find the total volume. Ans. 5881. 06 in3
19. The lateral area of a right circular cone is 4 times the area of the base. Find the angle at which an element of the cone is inclined to the base. Ans. 7531’
20. What is the spherical excess of a spherical polygon of four sides whose angles are 95, 112, 134, and 78. Ans. 59
11. Determine the volume of a right truncated triangular prism with the following definitions: Let the corners of the triangular base be defined by A, B, and C. The length of AB = 10 ft., BC = 9 ft., CA = 12 ft. The sides A, B, and C are perpendicular to the triangular base and have the height of 8.68 ft., 7.1 ft. and 5.5 ft. respectively. Ans. 311 ft3
12. A circular cylinder is circumscribed about a right prism having a square base one meter on an edge. The volume of the cylinder is 6.283 cu.m. Find its altitude in meters. Ans. 4m
13. The bases of a right prism is a hexagon with one of each side is equal to 6 cm. The bases are 12 cm apart. What is the volume of the right prism? Ans. 1122.4 cm3
14. A circular cylinder with a volume of 6.54 cu. m. is circumscribed about a right prism whose base is an equilateral triangle of a side 1.25 m. What is the altitude of the cylinder in meters? Ans. 4
15. The central angle of a spherical wedge is 1 radian. Find its volume if its radius is 1 unit. Ans. 2/3
16. The volume of water in a spherical tank having a diameter of 4 m is 5.236 m3. Determine the depth of the water in the tank. Ans. 1m
17. Water is poured to a depth of 12 cm into a hemispherical bowl of radius 20 cm. Find the volume of the water. Ans. 2304π cm3
18. A hemisphere whose radius is 12 inches is surmounted by a right circular cone with the same radius and an altitude of 15 inches. Find the total volume. Ans. 5881. 06 in3
19. The lateral area of a right circular cone is 4 times the area of the base. Find the angle at which an element of the cone is inclined to the base. Ans. 7531’
20. What is the spherical excess of a spherical polygon of four sides whose angles are 95, 112, 134, and 78. Ans. 59
Saturday, March 9, 2013
Solid Mensuration Problem Set
This is just the first batch of problems. Enjoy Solving.
1. Each side of the cube is increased by 1%. By what percent is the volume of the cube increased? Ans. 3.03%
2.Given a sphere of diameter d, what is the percentage increase in its diameter when the surface area increases by 21% Ans. 10%
3. How many times does the volume of the sphere increase if the radius is doubled? Ans. 8 times
4. A circular cone having an altitude of 9 m is divided into two segments having the same vertex. If the smaller altitude is 6 m, find the ratio of the volume of the small cone to the big cone. Ans. 0.296
5. Find the volume of the cone to be constructed from a sector having a diameter of 72 cm and a central angle of 210. Ans. 13503.4 cu. cm.
6. What is the height of a circular cone having a slant height of √(10x ) and a base diameter of 2x? Ans. 3x
7. The ratio of the volume to the lateral area of a right circular cone is 2:1. If the altitude is 15 cm, what is the ratio of the slant height to the radius? Ans. 5:2
8. A regular triangular pyramid has an altitude of 9m and a volume of 187.06 cu. m. What is the base edge in meters? Ans. 12m
9. The volume of the frustum of a regular triangular pyramid is 135 cu.m. The lower base is an equilateral triangle with an edge of 9 cm. The upper base is 8 m above the lower base. What is the upper base edge in meters? Ans. 3m
10. What is the frustum of a cone whose upper base is 15 cm in diameter and lower base 10 cm. in diameter with an altitude of 25 cm? Ans. 3108.87 cm3
1. Each side of the cube is increased by 1%. By what percent is the volume of the cube increased? Ans. 3.03%
2.Given a sphere of diameter d, what is the percentage increase in its diameter when the surface area increases by 21% Ans. 10%
3. How many times does the volume of the sphere increase if the radius is doubled? Ans. 8 times
4. A circular cone having an altitude of 9 m is divided into two segments having the same vertex. If the smaller altitude is 6 m, find the ratio of the volume of the small cone to the big cone. Ans. 0.296
5. Find the volume of the cone to be constructed from a sector having a diameter of 72 cm and a central angle of 210. Ans. 13503.4 cu. cm.
6. What is the height of a circular cone having a slant height of √(10x ) and a base diameter of 2x? Ans. 3x
7. The ratio of the volume to the lateral area of a right circular cone is 2:1. If the altitude is 15 cm, what is the ratio of the slant height to the radius? Ans. 5:2
8. A regular triangular pyramid has an altitude of 9m and a volume of 187.06 cu. m. What is the base edge in meters? Ans. 12m
9. The volume of the frustum of a regular triangular pyramid is 135 cu.m. The lower base is an equilateral triangle with an edge of 9 cm. The upper base is 8 m above the lower base. What is the upper base edge in meters? Ans. 3m
10. What is the frustum of a cone whose upper base is 15 cm in diameter and lower base 10 cm. in diameter with an altitude of 25 cm? Ans. 3108.87 cm3
Subscribe to:
Posts (Atom)