A spherical shell has an outer diameter of 20 cm and is 1 cm thick. What is the volume of the material in the shell? (Useπ = 3.14)
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 1134.6 cm3.
Outer radius R = 20/2 = 10 cm
Inner radius r = 10 – 1 = 9 cm
Volume of shell = (4/3)π(R3 – r3)
= (4/3) × 3.14 × (1000 – 729)
= (4/3) × 3.14 × 271
≈ 1134.6 cm3