6 A can of soup has a 9 cm diameter and is 14 cm high. a What is the radius of the can? b Find the area of a label that wraps around the can. Answer correct to one decimal place. c What is the surface area of the can including the top and bottom of the can? Answer correct to one decimal place.

To find the radius of the can, simply divide the diameter by 2. So, the radius is 9 cm / 2 = 4.5 cm. For the area of a label, which is essentially the lateral surface area, you can use the formula for the lateral surface area of a cylinder: \( 2 \pi r h \). Plugging in the values gives \( 2 \pi (4.5 \text{ cm})(14 \text{ cm}) \) which approximates to 398.2 cm² when rounded to one decimal place. To find the total surface area of the can, including the top and bottom, use the formula \( 2\pi r(h + r) \). Plugging in the values results in \( 2 \pi (4.5 \text{ cm})(14 \text{ cm} + 4.5 \text{ cm}) \), which calculates to about 530.0 cm², rounded to one decimal place. When dealing with cylinders, it’s essential to keep your units consistent. Make sure to always convert measurements if needed. Rounding numbers at the end can also slightly affect the outcome, so be cautious about when you choose to round!