a cylindrical tin with one end opened has diameter of 440mm and height 50mm.What is the total surface area
A closed tin of milk has diameter 10cm and height 16cm .find the total surface area of the tin.(take to be 22/7)
Math
To find the total surface area of a cylindrical tin, you need to calculate the area of the lateral surface (excluding the top and bottom circles) and add it to the areas of the two circular ends.
First, let's calculate the area of the lateral surface:
The lateral surface of a cylinder is essentially a rectangle that is rolled up to form the curved surface. The length of the rectangle is the height of the cylinder, and the width is the circumference of the circular cross-section.
The circumference, C, of a circle can be calculated using the formula C = πd, where d is the diameter.
Given that the diameter of the tin is 440mm, we can find the circumference as follows:
C = πd = π * 440mm
Next, calculate the area of the lateral surface (A_lateral):
A_lateral = C * height = π * 440mm * 50mm
Now, let's calculate the area of the circular ends:
The area of a circle, A_circle, is given by the formula A_circle = πr^2, where r is the radius.
The radius, r, can be obtained by dividing the diameter by 2:
r = d/2 = 440mm/2
Using this radius, we can calculate the area of each circular end:
A_circle = π * (440mm/2)^2
Finally, to find the total surface area (A_total), we add the area of the lateral surface to twice the area of a circular end (since there are two ends):
A_total = A_lateral + 2 * A_circle
Now you have all the necessary values to calculate the total surface area of the cylindrical tin. Simply plug in the values and perform the calculation.
SA of cylinder with one end
= πr^ + 2πrh
= π(220^2 + 2π(220)(50)
= ....