The total surface area of the can of coke is 641.143 cm².
<h3>What is the total surface area of the can?</h3>
A can of coke has the shape of a cylinder. A cylinder is a three-dimensional object that is made up of a prism and two circular bases. The total surface area of a closed cylinder can be determined by adding the area of all its faces.
Total surface area of the closed cylinder = 2πr(r + h)
Where:
- r = radius = 6cm
- h = height = 11 cm
- r = pi = 22 / 7
Total surface area of the closed cylinder = (2 x 22/7 x 6) x (6 + 11)
(264 / 7) x (17)
37.714 x 17 = 641.143 cm²
To learn more about how to calculate the total surface area of the closed cylinder, please check: brainly.com/question/13952059
#SPJ1
Answer:
Step-by-step explanation:
<u><em>Continuation of the question:</em></u>
- <em>1. Find c (5) and interpret your solution in the context of the problem
</em>
- <em>2. Find the value of h when c() = 525 and interpret your solution in the context of the problem</em>
<u>Solution</u>
1 ...............................................
2 ...............................................
- 525 = 30h + 180
- 30h = 525 - 180
- 30h = 345
- h = 345/30
- h = 11.5 hours
Answer:
<h3><u>Part (a)</u></h3>
<u />
<u>Equation of a circle</u>
where:
- (a, b) is the center
- r is the radius
Given equation:
Comparing the given equation with the general equation of a circle, the given equation is a <u>circle</u> with:
- center = (0, 0)
- radius =
To draw the circle, place the point of a compass on the origin. Make the width of the compass 2.5 units, then draw a circle about the origin.
<h3><u>Part (b)</u></h3>
Given equation:
Rearrange the given equation to make y the subject:
Find two points on the line:
Plot the found points and draw a straight line through them.
The <u>points of intersection</u> of the circle and the straight line are the solutions to the equation.
To solve this algebraically, substitute into the equation of the circle to create a quadratic:
Now use the quadratic formula to solve for x:
To find the coordinates of the points of intersection, substitute the found values of x into
Therefore, the two points of intersection are:
Or as decimals to 2 d.p.:
(2.35, -0.85) and (-0.85, 2.35)
It would be: 3/7-1/14 = 6-1 / 14 = 5/14
So, 5/14 is your answer..........