Square root (3) < square root (pie) < 2
Rational,real,integer,whole number,natural number
In this problem, you are asked to compute for the volume of
the spherical paintball. The formula in computing the volume of the sphere is:
V = 4/3 (pi) r^2
Where r = the radius of the sphere
Since the given measurement is in diameter, you need to
compute the radius of the sphere. The radius of the sphere is half its
diameter. Therefore, the radius of the sphere is 0.75 cm (1.5 cm / 2).
Substituting the radius to the formula and using 3.14 as the
value of pi:
V = 4/3(3.14)(0.75)^2
V = 2.355 cm^3 or 2.36 cubic centimeters (note that cubic
centimeter is equal to mL)
Therefore, there are approximately 2.36 mL of paint in the paintball.
In this item, it is assumed that since the pattern is cut out of the paper which is usually a rectangle then, the shape of the pattern is also rectangle. The perimeter of the rectangle is,
P = 2L + 2W
The area is equal to,
Area = L x W
If we assume that length and width are equal, in order to maximize the space.
1600 cm² = L x L
The value of L from the equation is 40 cm.
