a cube box is 20cm x 20cm x 20 cm. what's the surface area of the largest sphere in terms of pi
To find the surface area of the largest sphere that can fit inside the cube, we need to determine the diameter of the sphere, which is equal to the length of a side of the cube.
Given that the length of a side of the cube is 20 cm, the diameter of the sphere is also 20 cm.
The surface area of a sphere can be calculated using the formula:
Surface Area = 4πr^2
Where r is the radius of the sphere.
We can find the radius by dividing the diameter by 2:
Radius = Diameter / 2 = 20 cm / 2 = 10 cm
Now, we can calculate the surface area of the largest sphere:
Surface Area = 4π(10 cm)^2 = 400π cm^2
Therefore, the surface area of the largest sphere in terms of π is 400π cm^2.