Question

1.1.4 The pot that will be used to make this recipe has a radius of 7cm and a height of 5cm, using the conversion 1cm3 = 1 000ml, determine the capacity of the pot in litres. (Capacity = 1 x radius x radius x height where a = = 3,142) ane's friend Amelia, visits from the United States. She gets a copy of the recipe at has to convert the recipe into imperial units. .1 If 1 kg = 2,2 lb (pounds), convert 300g into pounds. 2 She uses 17,6056 fl. oz. of water for her recipe. If this is equivalent to 500ml, determine the conversion rate between fl. oz, and ml. Round your answer to one decimal place. She will travel to Cape Town from Johannesburg during her trip. She estimates that the distance is approximately 500 miles between the ti cities. If 1 mile = 1,609 km and the distance between Johannesburg Cape Town is 810 km, determine if she is correct

Answer 1

Answer:

The capacity of the pot in liters is;

$0.77\text{ liters}$

Explanation:

Given that the radius and height of the pot are;

$\begin{gathered} \text{radius r = 7cm} \\ \text{height h = 5cm} \end{gathered}$

We want to find the capacity of the pot in liters;

$\begin{gathered} \text{Capacity = }\pi\times radius\times radius\times height \\ C=\pi r^2h \end{gathered}$

substituting the given values;

$\begin{gathered} C=\pi r^2h \\ \pi=3.142 \\ C=3.142\times7\operatorname{cm}\times7\operatorname{cm}\times5\operatorname{cm} \\ C=769.79\operatorname{cm} \end{gathered}$

To convert to liters, we know that;

$\begin{gathered} 1cm^3=1ml \\ 1000cm^3=1\text{ liter} \\ 1cm^3=\frac{1}{1000}\text{ liter} \end{gathered}$

So, converting the capacity to liters we have;

$\begin{gathered} C=769.79\operatorname{cm}^3 \\ C=769.79cm^3\times\frac{1}{1000}liter/cm^3 \\ C=\frac{769.79}{1000} \\ C=0.76979\text{ liters} \\ C=0.77\text{ liters} \end{gathered}$

Therefore, the capacity of the pot in liters is;

$0.77\text{ liters}$