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.
a cube box is 20cm x 20cm x 20 cm. what's the surface area of the largest sphere in terms of pi
1 answer
1 answer