Question

A glass jar has a plastic lid, both cylindrical. The radius and height of the jar are 3.5 cm and 10 cm, and the lid's radius is 3.6 cm and height 1.3 cm. Find the surface area of the glass and the plastic lid separately. a) Glass: 148.5 cm^2, Plastic lid: 55.4 cm^2 b) Glass: 55.4 cm^2, Plastic lid: 148.5 cm^2 c) Glass: 203.9 cm^2, Plastic lid: 203.9 cm^2 d) Glass: 93.5 cm^2, Plastic lid: 64.7 cm^2

Answer 1

Using formulas for circle and cylinder surface areas, we find that the surface area of the glass jar is approximately 153.94 cm², and the plastic lid is approximately 45.24 cm², which do not match any of the given options.

Step-by-step explanation:

The subject of this question is mathematics and it is at the middle school level. For the glass jar, the surface area is calculated by adding the area of the base which is a circle (πr²) and the lateral area which is a rectangle when unrolled (2πrh), where r is the radius and h is the height.

Hence, the surface area of the glass jar is π(3.5 cm)² + 2π(3.5 cm)(10 cm) = 153.94 cm². For the plastic lid, it is the sum of two areas: the top which is a circle (πr²), and the side which is a cylinder surface (2πrh). So, the surface area of the lid is π(3.6 cm)² + 2π(3.6 cm)(1.3 cm) = 45.24 cm². These do not correspond to any of the given options.

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