We know that the volume, V of a sphere of radius 'r' is calculated using the formula V = (4/3) π r3. This is the formula for thevolume of a spherein terms of radius. We know that the diameter of asphereis twice the radius. i.e., the diameter, d = 2r. From this, we ge...
If r or the radius of the sphere is known, the volume is four thirds the product of pi and the cube of the radius of the sphere. Suppose the diameter is given instead of the radius. Since the radius is half of the diameter, just divide the diameter by 2 to get the radius before...
The disc method is one method of integration to find the volume of a solid of revolution. This method integrates infinitesimally small disks over the diameter of a sphere from -r to r. Recall that the equation of a circle in Cartesian coordinates is {eq}r^2 = x^2 + y^2 {/eq}...
Diameter of a circle is any straight line segment that passes through the center of the circle and whose endpoints lie on the circumference of a circle. Learn how to find the diameter of a circle using radius, circumference, and area.
Learn to define the general shape, surface area, and volume of a cylinder. Discover the formulas for calculating the surface area and volume of a...
Show how to calculate mass using density and volume. What is the volume of a sphere of a radius of 16.8 cm? Express your result in cubic centimeters. What is the volume of an aluminum cylinder whose dimensions are: diameter = 1.270 cm and height = 1.40 cm? What is the volume of a ...
The volume of a cone is equal to one-third of the product area of circular base and height. Learn to derive its formula for a regular cone and see some solved examples at BYJU'S.
The volume of spherical shell:A spherical shell is a region between two concentric spheres having different radii. Volume of a spherical shell =43πR3–43πr3 V =43π(R3−r3) Where, Solved Examples Q 1: The radius of the sphere is 5 cm. Find the diameter, circumference, surface area...
Area of Sphere. Learn the area and the volume of a sphere at BYJU'S. The definition, formula for area and volume, formula derivation, examples are provided here with detailed explanation.
1. Since the diameter of the hemisphere is 24 m, its radius r = 24/2 = 12 m. Hence, using the volume formula, the volume of this hemisphere will be: V = (2/3) x pi x r^3 = (2/3) x pi x (12^3) = 3619.11 m^3 (to two places of decimal) 2. Half...