This question has already been answered along with the workings. The answer is: 9.947183943 inches
The simple is to calculate the volume of the cone and subtract from the result the volume of the cone whose altitude is 1/2 the altitude of the original cone. This is easier said than done. The volume of a cone with circular base is (1/3)πr2s where r is the radius of the base and s is the altitude. The radius of the base of the empty part of the cone and hence its area can be found by using the pythagorean theorem
The volume of a right circular cylinder is found by using this formula: V=pi/4*r2*height Note: In this case, altitude and height are the same thing. Fill in the measurements you are given and solve. 500 = (3.14)(4)2(height) 500 = (3.14)(16)(height) 500 = (50.24)(height) height = approximately 9.95 inches
Spheres are spherical, with no base, and have no flat surfaces. Cones have a flat, circular base, with a circular altitude protruding from the edges of the circle. The altitude's diameter slowly diminishes until all edges reach eachother.
True
Volume = Area * Length The volume of a right circular cylinder is πr2h where r is the radius of the base and h is its height (altitude)
pi*r2*h = volume pi*16*h = 500 Divide both sides by pi*16 to find the height or altitude: altitude or height = 9.947183943 inches
This question has already been answered along with the workings. The answer is: 9.947183943 inches
The simple is to calculate the volume of the cone and subtract from the result the volume of the cone whose altitude is 1/2 the altitude of the original cone. This is easier said than done. The volume of a cone with circular base is (1/3)πr2s where r is the radius of the base and s is the altitude. The radius of the base of the empty part of the cone and hence its area can be found by using the pythagorean theorem
The volume of a right circular cylinder is found by using this formula: V=pi/4*r2*height Note: In this case, altitude and height are the same thing. Fill in the measurements you are given and solve. 500 = (3.14)(4)2(height) 500 = (3.14)(16)(height) 500 = (50.24)(height) height = approximately 9.95 inches
The answer is "No"; a right circular cone has a circle as its base while a right triangular cone has a triangular base (which we usually call a "pyramid". The Egyptian Pyramids have square bases. And the volume of any "right" pyramid is found by multiplying the area of its base by its VERTICAL height.
A right circular cone whose slant height is 9 inches and whose base has a diameter of 2 inches will have a volume of 36.757 cubic inches.
A right circular cone with a base radius of 3 ft and a height of 9 ft has a volume of: 84.8 cubic feet.
Strictly, if it has a circular base, it is a circular cylinder. Otherwise, it could have an oval base. If the long axis is at right angles (perpendicular) to the plane of the base, then it is a right circular cylinder.
Volume= πr^2×h=3.1428 x 1.5 x 1.5 x 3.5=24.75m^3
A pyramid has a rectangular base measuring 6'x4' If its altitude is 8' what is its volume
Where slant height is 7ft and base radius is 4.5ft, the volume of a right circular cone will be 113.705 units cubed.