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19 lip 2024 · Volume of a sphere: V = 4/3 × π × r³; and; Surface to volume ratio of a sphere: A / V = 3 / r. Now we can try to derive various surface areas of sphere formulas. In this area of a sphere calculator, we use four equations: Given radius: A = 4 × π × r²; Given diameter: A = π × d²; Given volume: A = ³√(36 × π × V²); and
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5 cze 2023 · Our equation of a sphere calculator will help you write the equation of a sphere in the standard form or expanded form if you know the center and radius of the sphere. Alternatively, you can find the sphere equation if you know its center and any point on its surface or if you know the end-points of any of its diameters.
4 paź 2023 · This online calculator will calculate the 3 unknown values of a sphere given any 1 known variable including radius r, surface area A, volume V and circumference C. It will also give the answers for volume, surface area and circumference in terms of PI π.
The area of a sphere is calculated by the formula S = 4πr². Our sphere area calculator makes your calculations much easier and quicker.
Contents. Proof. Archimedes' Hat-Box Theorem. Practice Problems. Proof. To prove that the surface area of a sphere of radius r r is 4 \pi r^2 4πr2, one straightforward method we can use is calculus. We first have to realize that for a curve parameterized by x (t) x(t) and y (t y(t ), the arc length is.
Find area, volume, radius and diameter of a sphere with this online step-by-step calculator.
2πa(x2 − x1) = 2πa(a − 0) = 2πa2. We get the surface area of the whole sphere by letting x1 = −a and x2 = a: 2πa(x2 − x1) = 2πa(a − (−a)) = 4πa2.
