To find the total surface area of the tin, we need to calculate the area of each of its components and then add them up.
The total surface area of the tin can be divided into 3 parts: the top and bottom circles, and the curved surface area of the cylinder.
1. The area of each circle can be calculated using the formula for the area of a circle: A = πr^2, where A is the area and r is the radius.
The radius of the circle is half the diameter, so in this case, r = 10/2 = 5 cm.
The area of each circle is: A = (22/7) * (5)^2 = (22/7) * 25 = 78.57 cm^2.
Since there are two circles (top and bottom) in the tin, the total area of the circles is 2 * 78.57 = 157.14 cm^2.
2. The curved surface area of the cylinder can be calculated using the formula: A = 2πrh, where A is the area, r is the radius, and h is the height.
The radius of the cylinder is the same as the radius of the circles, so r = 5 cm.
The height is given as 16 cm.
The curved surface area of the cylinder is: A = 2 * (22/7) * 5 * 16 = 502.86 cm^2.
3. Finally, we add up the area of the circles and the curved surface area of the cylinder: 157.14 + 502.86 = 660 cm^2.
Therefore, the total surface area of the tin is 660 cm^2.
A closed tin of milk has a diameter of 10 cm and height 16 cm , find the total surface area of the tin {take pie to be 22/7}
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1 answer