MATH SOLVE

9 months ago

Q:
# We want to paint some bowls with an interior diameter of 26 cm. With one can of paint you can paint a surface of 2.5m ^ 2 How many bowls can you paint at most with one can of paint? Considering that the bowls have a hemispherical shape.

Accepted Solution

A:

To find out how many bowls you can paint with one can of paint, you need to calculate the surface area of one hemispherical bowl and then divide the total paintable surface area (2.5 square meters) by the surface area of one bowl.
The formula for the surface area of a hemisphere is:
Surface Area of Hemisphere = 2Οr^2
Where:
- Ο (pi) is approximately 3.14159
- r is the radius of the hemisphere
In this case, the interior diameter of the bowls is 26 cm, which means the radius (r) is half of that, or 13 cm (0.13 meters).
Now, calculate the surface area of one hemisphere:
Surface Area of One Hemisphere = 2Ο(0.13)^2
Surface Area of One Hemisphere β 0.1062 square meters
Now, divide the total paintable surface area (2.5 square meters) by the surface area of one hemisphere to find out how many bowls you can paint with one can of paint:
Number of Bowls = Total Paintable Area / Surface Area of One Hemisphere
Number of Bowls = 2.5 square meters / 0.1062 square meters β 23.54
You can paint approximately 23 bowls with one can of paint. Since you can't paint a fraction of a bowl, the maximum number of bowls you can paint with one can of paint is 23.