Pls A closed tin of milk has a diameter of 10cm and height 16cm find the total surface area of the tin take pie 22 over seven show full working
Visualize opening up a can
You will have 2 circles plus a rectangle with length equal to the circumference and a width of 16 cm
So SA = 2π r^2 + 2π r h
= 2π (5^2) + 2π(5)(16)
= .... cm^2
Are you trying to find the surface area of a cylinder?
Please where is the answer to my first question.
A closed tin of milk has diameter 10cm and height 16cm find the curved surface area of a cylinder
Solve A closed tin of milk has diameter 10cm and height 16cm find the curved surface area of a cylinder
To find the total surface area of a closed tin, we need to calculate the areas of all its different parts and then add them together.
The tin consists of two circular bases and one curved surface.
1. The area of each circular base can be found using the formula for the area of a circle: A = πr^2, where A is the area and r is the radius. In this case, we need to find the radius from the given diameter. The diameter is 10 cm, so the radius (r) is half of that, which is 10/2 = 5 cm. Therefore, the area of each circular base is A1 = π(5 cm)^2.
2. The curved surface of the tin can be visualized as a rectangle that is wrapped around the sides of the tin. The height of the tin is the same height as the rectangle, and the length of the rectangle can be calculated by finding the circumference of one of the circular bases. The circumference of a circle can be found using the formula: C = 2πr. In this case, the circumference of one circular base is C = 2π(5 cm).
Now, let's calculate the areas:
1. Area of each circular base:
A1 = π(5 cm)^2 = 25π cm^2 (since π = 22/7, we can write this as 25(22/7) cm^2, or simply 550/7 cm^2)
2. Curved surface area:
The length (L) of the rectangle is the circumference of the circular base, so L = 2π(5 cm) = 10π cm.
The height (H) of the rectangle is the same as the height of the tin, which is 16 cm.
Therefore, the area of the curved surface is A2 = L * H = (10π cm) * (16 cm) = 160π cm^2.
Finally, to find the total surface area, we add the areas of the two circular bases and the curved surface:
Total Surface Area = 2 * A1 + A2 = 2 * (550/7 cm^2) + (160π cm^2) = (1100/7) cm^2 + (160π cm^2).
If you need a numerical approximation, you can calculate the value of the expression above using the value of π as 22/7. If you want to keep the answer in terms of π, then the answer is (1100/7) cm^2 + (160π cm^2).