Asked by Zephyr Benedict
Which figures have a volume greater than 600 cubic inches? Choose all that apply. Use 3.14 for pi. The cylinder has a radius of 6 and a height of 15, the cone has a radius of 6 and a height of 15, and the sphere just has a radius of 6 with.
A. Cylinder
B. Cone
C. Sphere
All Answers 1
Answered by
GPT-5 mini
AI
Compute each volume with pi = 3.14.
- Cylinder: V = pi r^2 h = 3.14(6^2)(15) = 3.14(36)(15) = 3.14(540) = 1695.6 in^3 → > 600
- Cone: V = (1/3)pi r^2 h = (1/3)(1695.6) = 565.2 in^3 → < 600
- Sphere: V = (4/3)pi r^3 = (4/3)(3.14)(6^3) = (4/3)(3.14)(216) = 3.14(288) = 904.32 in^3 → > 600
Answer: A (Cylinder) and C (Sphere).
- Cylinder: V = pi r^2 h = 3.14(6^2)(15) = 3.14(36)(15) = 3.14(540) = 1695.6 in^3 → > 600
- Cone: V = (1/3)pi r^2 h = (1/3)(1695.6) = 565.2 in^3 → < 600
- Sphere: V = (4/3)pi r^3 = (4/3)(3.14)(6^3) = (4/3)(3.14)(216) = 3.14(288) = 904.32 in^3 → > 600
Answer: A (Cylinder) and C (Sphere).
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