Answer:
Area of the red sphere is 314.2 cm²
Step-by-step explanation:
See attachment for complete details of the question
Given
Blue Sphere:
Radius, R = 15 cm
Surface Area, A = 2827.4 cm²
Red Sphere
Radius, r = 5 cm
Required
Calculate the surface area of the red sphere.
As long as the red sphere is similar to the blue sphere, the surface area of the sphere is calculated using the following formula
Area = 4πr²
Given that the radius of the red sphere is 5 cm
The surface area of the red sphere is calculated by substituting 5 cm for r in the above formula.
So,
Area = 4 * π * 5²
Area = 4π * 25
Area = 100 π (Taking π as 3.142)
Area = 100 * 3.142
Area = 314.2 cm²
Hence, the area of the red sphere is 314cm²
