Answer:
Volume of sphere A = 128x (Approx.)
Step-by-step explanation:
Given:
Radius of sphere A = 2 x Radius of sphere B
Volume of sphere B = 16x
Find:
Volume of sphere A
Computation:
Volume of sphere = (4/3)(π)(r)³
Volume of sphere B = (4/3)(π)(r)³
16x = (4/3)(π)(r)³
16x = (4/3)(22/7)(r)³
16x = (88/21)(r)³
Radius of sphere B = 1.56∛x Approx.
Radius of sphere A = 2 x Radius of sphere B
Radius of sphere A = 2 x 1.56∛x
Radius of sphere A = 3.12∛x Approx.
Volume of sphere A = (4/3)(π)(r)³
Volume of sphere A = (4/3)(22/7)(3.12∛x)³
Volume of sphere A = (88/21)(30.37∛x)
Volume of sphere A = 127.27x
Volume of sphere A = 128x (Approx.)
