In this worksheet, we will practice using formulas to solve problems in real-life contexts.

**Q2: **

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

- A
- B
- C
- D
- E3

**Q5: **

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

**Q6: **

The volume, , of a cylinder with radius and height is . Given that a cylinder has a height of 6 metres, 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 , 0.92 metres.
- B , 15.92 metres.
- C , 69.10 metres.
- D , 3.99 metres.
- E , 2.25 metres.

**Q7: **

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

**Q8: **

The volume, , of a right circular cone with radius length
is given by . Find the height of a
right circular cone with volume
4β312 cm^{3}
and base diameter length
28 cm.

**Q9: **

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