A circular concrete conduit, whose inside diameter is 10 ft., is 1 ft. thick. It rises 16 ft. per 1000 horizontal feet. The vertical plane which contains the axis is perpendicular to the two vertical planes which contain the ends of the conduit. If the ends are 3000

ft. apart, find the amount of concrete used in the construction of the conduit.

a. 103,685.69 ft3

b.104,675.69 ft3

c. 105,655.69 ft3

d.106,665.69 ft3

Solution:

Find the area of the largest circle which can be cut from a square of

edge 4 inches. What is the area of the material wasted?

a. 3.43 in2

b.5.43 in2

c. 4.93 in2

d.2.43 in2

A pine log 40 ft long has a uniform circular cross section of radius 11 in.

the ends lie in parallel planes which are not perpendicular to the axis of the log. How much paint will be required to give the log (ends not include) two coats. If 1 gal of paint covers 800 sq ft of surface? If pine weighs 31 lb per cu ft. find the

weight of the log.

a. 3256.23 lbb.3273.37 lbc. 3569.23 lbd.3965.12 lb

A cubic foot of water weighs about 62.4 lb. what must be the diameter of a cylindrical pail 1 ft high in order for it to hold the water from 25 lb of

ice? How many square inches of sheet tin are required to make the

pan?

a. 380.74 in2

b.379.74 in2

c. 381.74 in2

d.382.74 in2

Find the waste in making the largest possible cylindrical rod from a bar of

iron 3 ft long which has a square cross section whose diagonal is 6 in.

a. 0.08048 ft3

b.0.09068 ft3

c. 0.08566 ft3

d.0.05698 ft3

If the edge of a cube is increased by 30%, by how much is the surface area

increased?a. 30%b.33%

c. 60%d.69%

Solution:

Thus, A2 is increased by 69%

How many times do the volume of a sphere

increases if the radius is doubled?

a. 4 timesb.2 times

c. 6 timesd.8 times

Solution:

Thus, V2 is increased by 8 times

A conical vessel has a height of 24 cm and a base diameter of 12 cm. it holds water to a depth of 18 cm above its vertex. Find the volume

(in cm3) of its content

a. 188.40b. 298.40

c. 381.70d. 412.60

Solution:

r = 4.5

Building blocks are closely stacked in a pile 7 ft. high, 36 ft. long and 12 ft. wide. If the bricks are 2 in. by 4 in. by 9 in., how many bricks

are in the pile?

a. 73, 589b. 72, 576

c. 74, 369d. 75, 345

Solution:

For pile:

For one brick:

A trench is 180 ft. long and 12 ft deep, 7 ft wide at the top and 4 ft at the bottom. How many cubic

yards of earth have been removed?

a. 440b. 442

c. 443d. 446

Solution:

A regular triangular pyramid has an altitude of 9 m and a

volume of 187.06 cu.m. what is the base edge in

meters?a. 12b. 13

c. 14d. 15

Solution:

What is the volume of 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.

a. 3018.87 cm3

b. 3180.87 cm3

c. 3108.87 cm3

d. 3081.87 cm3

Solution:

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 m. The upper base is 8 m above the lower base. What is the

upper base edge in meters?

a. 2b. 3

c. 4d. 5

Solution: