A=4Ï€r2
A = 4 * 3.14 * 1.25^2
A = 12.56 * 1.5625
A = 19.625 sq. cm.
4710 / 19.625 = _______ spheres
A = 4 * 3.14 * 1.25^2
A = 12.56 * 1.5625
A = 19.625 sq. cm.
4710 / 19.625 = _______ spheres
The surface area of a sphere is given by the formula:
Surface Area = 4Ï€r^2
where r is the radius of the sphere.
In this case, we are given the diameter of the sphere, which is 2.5 cm. We can calculate the radius by dividing the diameter by 2:
Radius = diameter / 2 = 2.5 cm / 2 = 1.25 cm
Now we can substitute the value of the radius into the formula to find the surface area of a sphere:
Surface Area = 4Ï€(1.25 cm)^2
Surface Area ≈ 4 × 3.14 × 1.25^2
Surface Area ≈ 4 × 3.14 × 1.5625
Surface Area ≈ 19.635 cm^2
Now that we know the surface area of a single sphere is approximately 19.635 cm^2, we can determine how many spheres can be glazed.
Given that there is enough glaze to cover an area of 4710 cm^2, we can divide the total available glaze area by the surface area of a single sphere to find the number of spheres that can be glazed:
Number of Spheres = Total available glaze area / Surface area of a single sphere
Number of Spheres = 4710 cm^2 / 19.635 cm^2
Using a calculator, we can find the approximate value:
Number of Spheres ≈ 239.956
Therefore, approximately 240 spheres can be glazed.
The surface area of a sphere can be calculated using the formula: A = 4πr², where A represents the surface area and r is the radius.
Since we are given the diameter (2.5 cm) of the sphere, we can find the radius by dividing it by 2: r = d/2 = 2.5 cm / 2 = 1.25 cm.
Now let's calculate the surface area of the sphere using the formula:
A = 4π(1.25 cm)²
A = 4Ï€(1.25 cm)(1.25 cm)
A ≈ 4π(1.56 cm²) (rounded to 2 decimal places)
A ≈ 6.28 cm²
So, the surface area of each sphere is approximately 6.28 cm².
To determine the number of spheres that can be glazed, we divide the total glaze area by the surface area of each sphere:
Number of spheres = Total glaze area / Surface area per sphere
Number of spheres = 4710 cm² / 6.28 cm²
Number of spheres ≈ 749.20
Since we cannot have a fraction of a sphere, we round down the result.
Therefore, the number of spheres that can be glazed is 749.