A closed tin of milk has diameter 10cm and height 16cm. Find the total surface area of the tin . (Take pi to be 22/7). Pls show full working

the curved "tube" ... π * diameter * height ... cm^2

the two ends ... 2 * π * [(diameter)^2] / 4

Did you know?

Did you know that you can find the total surface area of a closed tin by using its dimensions? To calculate the surface area, you need the diameter and height of the tin. For example, let's consider a closed tin of milk with a diameter of 10cm and a height of 16cm. To find the total surface area, you need to calculate the area of both the top and bottom circles, as well as the lateral surface area. The formula for the area of a circle is A = πr^2, where r is the radius (half the diameter) of the circle. So, for the top and bottom circles, you can find their respective areas using the formula A = (22/7)(5^2) = 22/7 * 25 = 78.57 cm^2 (rounded to two decimal places). Next, to find the lateral surface area, you need to find the circumference of the circle formed by the tin's base. The formula for the circumference of a circle is C = 2πr. Therefore, the circumference is C = 2 * (22/7) * 5 = 31.43 cm (rounded to two decimal places). Finally, to get the lateral surface area, you multiply the circumference by the height of the tin. Thus, the lateral surface area is 31.43 * 16 = 502.88 cm^2 (rounded to two decimal places). To find the total surface area, you add the areas of the top and bottom circles to the lateral surface area. So, the total surface area of the closed tin of milk is 78.57 + 78.57 + 502.88 = 660.02 cm^2 (rounded to two decimal places). Now you know how to calculate the total surface area of a closed tin using its dimensions!