Web5 jun. 2024 · 1. The best way of solving this problem it's using spherical coordinates. Then, you can only calculate the volume of one octant of the space supposing that the sphere is centered on the origin. So, given a solid sphere with radius R, the volume would be: V = 8 ∫ 0 π 2 d θ ∫ 0 π 2 ∫ 0 R r 2 sin φ d r d φ. Share. Web14 jul. 2011 · I assume that you are looking at the cross-section of the sphere at a height 1cm above the base. This cross-section is a circle, whose radius you can find by …
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6.2: Determining Volumes by Slicing - Mathematics LibreTexts
WebFind many great new & used options and get the best deals for 406G Natural fluorite obelisk quartz crystal slice mineral specimen CA200 at the best online prices at eBay! Free shipping for many products! Skip to main content. Shop by category. Shop by category. Web11 jan. 2024 · To derive this from the standard sphere volume formula volume = (4/3) × π × r³, substitute r with d/2. In this way, we use the fact that the radius is half the diameter. What is the volume of a sphere with radius 2? volume = (4/3) × π × 8 ≈ 33.5 To derive this result, recall the volume formula volume = (4/3) × π × r³ and plug-in r = 2. Web2 aug. 2014 · Viewed 2k times 7 With integration you can prove that if a sphere is cut into $n$ paralel slices of equal width, then those slices have the same external area. It is often presented as "a spherical loaf of bread is cut $n-1$ times with equidistant paralel cuts, thus leaving $n$ slices of equal width. Those slices have the same amount of crust". hot strips crossword