Correct option is C
If the surface area of a sphere is 1386 cm², what will be its volume?
Given:
-Surface Area of Sphere = 1386 cm²
Formula Used:
Surface Area of Sphere = 4πr²
Volume of Sphere = (4/3)πr³
Solution:
Use surface area formula to find radius (r):
4πr² = 1386
=>r2=(4π)1386 =>r=(4π)√(1386)≈10.5cm=221 cm
Use radius to find volume:
Volume = (34)πr3
=> Volume ≈ (34)×π×(221×221×221)
=> Volume ≈ 34×722×221×221×221
Hence, the volume of the sphere is approximately 4851 cm³.