To find the total surface area of the tin, we need to calculate the lateral surface area and the area of the top and bottom of the cylinder separately.
Given:
Diameter of the tin (d) = 10 cm
Radius of the tin (r) = 10/2 = 5 cm
Height of the tin (h) = 15 cm
π = 3.14
a) Lateral Surface Area:
The lateral surface area of a cylinder is given by the formula: 2πrh
Lateral surface area = 2 * 3.14 * 5 * 15
Lateral surface area = 471 cm²
b) Top and Bottom Surface Area:
The top and bottom surfaces of the cylinder are circles with radius 5 cm each. The area of each circle is given by the formula: πr²
Area of top and bottom surfaces = 2 * 3.14 * (5)²
Area of top and bottom surfaces = 157 cm²
c) Total Surface Area:
Total surface area = Lateral surface area + Top and bottom surface area
Total surface area = 471 + 157
Total surface area = 628 cm²
Therefore, the total surface area of the tin is 628 cm² (to 1 significant figure).
Fig. 19.9 A closed tin is in the shape of a cylinder of diameter 10 cm and height 15 cm. Use the value 3.14 for π to find: a The total surface area of the tin. To 1sf
1 answer
1 answer