Khan Academy
If you're seeing this message, it means we're having trouble loading external resources on our website. If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.
Volume formulas review (article) | Khan Academy
Review the formulas for the volume of prisms, cylinders, pyramids, cones, and spheres.
Khan Academy
And our original shape, our original right triangle, if you just took a cross section of it that included that line you would have your original shape. Let me do this in orange. So the original shape is right over there. So what do you get? You get a cone …
Khan Academy
A circular cone is a pyramid-like figure that has a base shaped like a circle. Created with Raphaël r h Volume circular cone = 1 3 ( Area circle ) ⋅ ( height ) = 1 3 ( π ⋅ ( radius ) 2 ) ⋅ ( height ) = 1 3 π r 2 h
Volume of cylinders, spheres, and cones word problems
Jackson buys a grape snow cone on a hot day. By the time he eats all the "snow" off the top, the paper cone is filled with 27 π cm 3 of melted purple liquid. The radius of the cone is 3 cm.
How volume changes from changing dimensions - Khan Academy
The volume of a pyramid with base area A and perpendicular height h is given by V = (1/3)Ah. (Note that a cone can be thought of as a pyramid with a circular base, so in the formula for the volume of a cone, pi r^2 is used in the place of A.)
Cavalieri's principle in 3D - Khan Academy
But once again it is intuitive. And it goes all the way to the case where you have, you could view it as a continuous pyramid right over here that has been skewed. So no matter how much you skew it, it's gonna have the same volume as our original pyramid 'cause they have the same height.
Khan Academy
He divides by three because the formula for a right rectangular pyramid is V=( 1/3 x A x H). A= area of the base, H = Height. But basically if you multiply something by 1/3 it is dividing it by 3. Hope that makes sense!
Khan Academy
The formula for the volume of a sphere is V = 4/3 π r³, where V = volume and r = radius. The radius of a sphere is half its diameter. So, to calculate the volume of a sphere given the diameter of the sphere, you can first calculate the radius, then the volume.
Solid geometry word problems (practice) - Khan Academy
Learn for free about math, art, computer programming, economics, physics, chemistry, biology, medicine, finance, history, and more. Khan Academy is a nonprofit with the mission of providing a free, world-class education for anyone, anywhere.