Emily makes cylindrical bars of soap to sell online. Each bar has a radius of 3.5 cm and a length of 4 cm. Each bar is wrapped i n plastic before shipping. In terms of π, how much plastic will Emily need to ship 20 bars of soap? A) 52.5π cm2
B) 110π cm2
C) 1050π cm2
D) 1075π cm2
1 answer:
Answer:
C) 1050π cm²
Step-by-step explanation:
Surface area of a cylinder = 2πrh + 2πr²
radius, r = 3.5cm
Height, h = 4 cm
Surface area of a cylinder = 2πrh + 2πr²
= 2 * π * 3.5 * 4 + 2 * π * 3.5²
= 28π + 2π * 12.25
= 28π + 24.5π
= 52.5π cm²
Surface area of a cylinder = 52.5π cm
There are 20 bars of soap
Total plastic Emily needs for 20 bars of soap = surface area of each soap × 20
= 52.5π cm² × 20
= 1,050π cm²
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