The Surface area of the container that is in contact with the lip balm ≈ 30.4 cm³.
A hemisphere is half of a sphere. Thus, the volume of a hemisphere is given as: V = = (2/3)πr³, where r is the radius of the hemisphere.
Surface area of a hemisphere is given as, SA = 2πr²
Given the following:
Volume of hemisphere = 30 cm³
i. Radius (r) of the container = radius of the hemisphere
2πr² = 30
r² = 30/2π
r² = 4.8
r ≈ 2.2 cm
ii. Surface area of the container that is in contact with the lip balm = surface area of hemisphere = 2πr²
Surface area = 2(3.14)(2.2²)
Surface area of the container that is in contact with the lip balm ≈ 30.4 cm³.
In summary:
i. The radius of the container is 2.2 cm
ii. The surface area of the container that is in contact with the lip balm ≈ 30.4 cm³.
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