Answer: 96π.
- A 96π
- B 192π
- C 288π
- D 384π
Correct answer: A. 96π
Explanation: Height h=√(l²−r²)=√(100−36)=√64=8. Volume=(1/3)πr²h=(1/3)π×36×8=(1/3)×288π=96π. Ans: 96π.
Three standard 3D solids and their key formulas: a cylinder's volume scales with the full height, a cone's volume is exactly one-third of the cylinder with the same base and height, and a sphere's volume and surface area both follow distinct r-based formulas worth memorising separately.
Concept context
Perimeters, areas, and volumes of 2D and 3D shapes