**Q1: **

The circumference of a circle as a function of its radius is given by . Express the radius of a circle as a function of its circumference, denoting it by , and then find .

- A, 72
- B, 18
- C, 18
- D, 36
- E, 36

**Q2: **

The surface area, , of a sphere in terms of its radius, , is given by . Express as a function of and find, to the nearest tenth of an inch, the radius of a sphere whose surface area is 1000 square inches.

- A, 0.4 inches
- B, 0.1 inches
- C, 8.9 inches
- D, 2.5 inches
- E, 79.6 inches

**Q3: **

The volume, , of a cylinder with radius and height is . Given that a cylinder has a height of 6 meters, write an equation for the radius of the cylinder as a function of , and then use this to find the radius of the cylinder if its volume is 300 cubic meters. Give your answer to two decimal places.

- A, 2.25 meters.
- B, 69.10 meters.
- C, 3.99 meters.
- D, 0.92 meters.
- E, 15.92 meters.

**Q4: **

The volume of a right circular cone with radius and height is . First, write an equation for the radius of a cone with a height of 12 inches as a function of . Then, use this to find the radius of the cone to the nearest whole number given that its volume is 50 cubic inches.

- A, 9 inches
- B, 3 inches
- C, 2 inches
- D, 1 inch
- E, 4 inches

**Q5: **

Use the formula to determine the height, , of a triangle given that its area, , is 4.5 and its base, , is 2.

- A3
- B
- C
- D
- E

**Q6: **

The circumference of a circle can be estimated using the formula , where is the radius. Find an estimate of the radius of a circle with . Round your answer to the nearest tenth.

**Q7: **

The volume, , of a sphere with radius length is
given by . Find the radius length of a sphere with a volume of cm^{3}. (Take .)

**Q8: **

The volume, , of a right circular cone with radius length
is given by . Find the height of a
right circular cone with volume
4 312 cm^{3}
and base diameter length
28 cm.

**Q9: **

A room’s temperature ranges from to . Determine its temperature range in degrees Fahrenheit, using the formula , where is the temperature in degrees Fahrenheit, and is the temperature in degrees Celsius.

- A to
- B to
- C to
- D to
- E to

**Q10: **

The surface area, , of a cylinder in terms of its radius, , and height, , is given by . Express the radius, , of a cylinder with a height of 4 feet as a function of . Find, to the nearest foot, the radius of such a cylinder whose surface area is 200 square feet.

- A, 7 feet
- B, 6 feet
- C, 4 feet
- D, 8 feet
- E, 6 feet