A solid sphere with a radius of 10 cm is reshaped into 8 smaller solid spheres of identical size. What is the surface area of each smaller sphere (in cm²)?

Explanation

The volume of the original sphere is (4/3)π(10)³ = (4/3)π(1000). When divided into 8 equal smaller spheres, each has volume (4/3)πr³ = (1/8) * (4/3)π(1000). Solving for r gives r = 5 cm. The surface area of each smaller sphere is 4π(5)² = 100π cm².