Question

How to find the volume of each shape of a basket if its radius is 4.7

Answer 1

I need one detail: which shapes do you mean by "each shape of a basket" (sphere, hemisphere, cylinder, cone, frustum, …)? Also give any heights if the shape has one (cylinder height, cone height, etc.).

Below are the relevant volume formulas and numeric examples for radius r = 4.7 (units omitted). Tell me which to use or supply heights and I’ll compute exactly.

Formulas (r = 4.7)
- Sphere: V = (4/3)π r^3.
- r^3 = 4.7^3 = 103.823 → V = (4/3)π(103.823) ≈ 434.99 (≈ 435.0).

- Hemisphere (half a sphere): V = (1/2)(4/3)π r^3 = (2/3)π r^3.
- V ≈ 217.49 (≈ 217.5).

- Cylinder: V = π r^2 h. (need height h)
- r^2 = 4.7^2 = 22.09. Example: if h = 4.7 → V = π·22.09·4.7 ≈ 326.50.
- Example: if h = 9.4 (diameter) → V = π·22.09·9.4 ≈ 652.99.

- Cone: V = (1/3)π r^2 h. (need height h)
- Example: if h = 4.7 → V ≈ 108.83.
- If h = 9.4 (2r) → V ≈ 217.49 — note this equals the hemisphere volume when cone height = diameter.

If you tell me which shapes and the heights (if applicable) and the units you want, I’ll give the exact numeric volumes and round as you prefer.