Answer:
Area of the red sphere is 314.2 cm²
Step-by-step explanation:
See attachment for complete details of the question
Given
<u>Blue Sphere:</u>
Radius, R = 15 cm
Surface Area, A = 2827.4 cm²
<u>Red Sphere</u>
Radius, r = 5 cm
Required
<em>Calculate the surface area of the red sphere.</em>
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 (<em>Taking π as 3.142)</em>
Area = 100 * 3.142
Area = 314.2 cm²
Hence, the area of the red sphere is 314cm²
