Determine the radius of the can.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Here are the solutions for Question 9:
9.1 Calculate the volume of one can of cold drink, rounded to the nearest whole number.
Step 1: Determine the radius of the can.
The diameter of a can is $6 \text{ cm}$.
$$r = \frac{\text{Diameter}}{2} = \frac{6 \text{ cm}}{2} = 3 \text{ cm}$$
Step 2: Use the formula for the volume of a cylinder.
Given $\pi = 3.142$ and height ($h$) = $8.84 \text{ cm}$.
$$V = \pi r^2 h$$
$$V = 3.142 \times (3 \text{ cm})^2 \times 8.84 \text{ cm}$$
$$V = 3.142 \times 9 \text{ cm}^2 \times 8.84 \text{ cm}$$
$$V = 28.278 \text{ cm}^2 \times 8.84 \text{ cm}$$
$$V = 249.90792 \text{ cm}^3$$
Step 3: Round the volume to the nearest whole number.
$$V \approx 250 \text{ cm}^3$$
The volume of one can of cold drink is $\boxed{\text{250 cm}^3}$.
9.2 Write down the capacity of one can of cold drink in ml.
Step 1: Use the conversion factor $1 \text{ cm}^3 = 1 \text{ ml}$.
From 9.1, the volume of one can is $249.90792 \text{ cm}^3$.
$$ \text{Capacity} = 249.90792 \text{ ml} $$
Step 2: Round the capacity to the nearest whole number.
$$ \text{Capacity} \approx 250 \text{ ml} $$
The capacity of one can of cold drink is $\boxed{\text{250 ml}}$.
9.3 Calculate the height of the cooler bag, rounded to the nearest whole number.
Step 1: Determine the height of the cooler bag.
The problem states that "Two six-pack cans fit exactly on top of each other in the cooler bag."
The height of one can is $8.84 \text{ cm}$.
$$\text{Height}_{\text{cooler bag}} = 2 \times \text{Height}_{\text{can}}$$
$$\text{Height}_{\text{cooler bag}} = 2 \times 8.84 \text{ cm}$$
$$\text{Height}_{\text{cooler bag}} = 17.68 \text{ cm}$$
Step 2: Round the height to the nearest whole number.
$$\text{Height}_{\text{cooler bag}} \approx 18 \text{ cm}$$
The height of the cooler bag is $\boxed{\text{18 cm}}$.
9.4 Calculate the height of the cooler bag, rounded to the nearest whole number.
This question is identical to 9.3.
Step 1: Determine the height of the cooler bag.
$$\text{Height}_{\text{cooler bag}} = 2 \times 8.84 \text{ cm}$$
$$\text{Height}_{\text{cooler bag}} = 17.68 \text{ cm}$$
Step 2: Round the height to the nearest whole number.
$$\text{Height}_{\text{cooler bag}} \approx 18 \text{ cm}$$
The height of the cooler bag is $\boxed{\text{18 cm}}$.
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