Question

if a sphere is got completely fit in a cube of side 6 cm then find the ratio of their surface areas​

Answer 1

Answer:

if a sphere is got completely fit in a cube of side 6 cm then  the ratio of their surface areas​ 11 : 21

Step-by-step explanation:

If the sphere fits completely in a cube, the diameter of the sphere is equal to the length of the cube.

The surface area of the cube is given by:

SA = 6s² where s is the side of the cube.

= 6 × 6² = 216 cm²

The surface area of the sphere is:

SA = 4πr²

= 4 × 22/7 × (6/2)² = 113 1/7 cm²

The ratio of their surface areas is given by:

Area of Sphere : Area of the cube

113 1/7 ÷ 216 = 11/21

The ratio of their surface areas is:

= 11 : 21