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What is the formula for calculating the volume of a sphere that has had a cylinder removed?
Although you said "cylinder," if you drill a hole through the center of a sphere, the shape of the volume you drill out is not a perfect cylinder. It looks more like a medicine capsule, a cylinder with convex end caps. The volume of a sphere = (4/3)*pi*r3, and the volume of a cylinder = pi*r2*h, where r is the radius and h is the height. So, the volume you're looking for is the volume of the sphere minus the volume of the cylinder minus the volume of the two end caps = (4/3)*pi*r3 - pi*r2*h - volume of the end caps. It requires calculus to determine the volume of the end caps. Keith Devlin of the Mathematical Association of America provides an outstanding explanation of this problem, including the computation of the end caps. See the nearby link. Keith's result is given as 4/3 * h^3. Should be 4/3 * pi * h^3. In other words, the same volume of a sphere of diameter h.
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Formula for calculating the area of sphere?
Formula for calculating the area of sphere is : 4 * pi * r * r
Why are there two different formulas for calculating a cylinder and a sphere?
Cylinders and spheres are different geometric shapes with different properties. The formulas for calculating their volume and surface area reflect these differences in shape and dimensions. The formula for a cylinder involves multiplying the base area by the height, while the formula for a sphere involves powers of the radius to account for its spherical shape.
What is the formula for calculating the charge density of a sphere?
The formula for calculating the charge density of a sphere is Q / V, where is the charge density, Q is the total charge of the sphere, and V is the volume of the sphere.
What is the formula for calculating the moment of inertia of a solid sphere?
The formula for calculating the moment of inertia of a solid sphere is (2/5) m r2, where m is the mass of the sphere and r is the radius of the sphere.
What is the formula for calculating the moment of inertia of a hollow sphere?
The formula for calculating the moment of inertia of a hollow sphere is I (2/3) m r2, where I is the moment of inertia, m is the mass of the sphere, and r is the radius of the sphere.
What is the formula for calculating the surface charge density of a sphere?
The formula for calculating the surface charge density of a sphere is: Q / 4r, where represents the surface charge density, Q is the total charge on the sphere, and r is the radius of the sphere.
What is the formula for calculating the electric field of a sphere?
The formula for calculating the electric field of a sphere is E k Q / r2, where E is the electric field, k is the Coulomb's constant (8.99 x 109 N m2/C2), Q is the charge of the sphere, and r is the distance from the center of the sphere.
What is the formula for calculating the electric field of a charged sphere?
The formula for calculating the electric field of a charged sphere is E k Q / r2, where E is the electric field, k is the Coulomb's constant (8.99 x 109 N m2/C2), Q is the charge of the sphere, and r is the distance from the center of the sphere.
What is the realationaship between a sphere and cylinder?
They are both 3D shapes and use pi in calculating area or volume
What is the formula for calculating the volume of sphere?
(4/3)*pi*r^3 pi is constant 3.14, r is radius of the sphere.
What is the formula for calculating a sphere volume?
V=4/3*Pi*r3 where r is the radius.
What is formula for area of semi sphere?
Formula for calculating the area of a hemisphere... Area = (4 x pi x r2) / 2
