What is the volume of a right circular cone with radius 6 cm and height 10 cm?
Answer and explanation
Correct answer: B. 120 * pi cm^3
- Step 1: Cone volume formula: V = (1/3) pi r^2 * h.
- Step 2: Calculate r^2: 6^2 = 36 cm^2.
- Step 3: Multiply by height: 36 * 10 = 360.
- Step 4: Multiply by (1/3)pi: (1/3) 360 pi = 120 pi cm^3.
Answer
120 * pi cm^3.
Why not the others: '360 pi cm^3' is the volume of a cylinder with the same dimensions, forgetting the 1/3 factor; '60 pi cm^3' divides by 6; '180 * pi cm^3' divides by 2.
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