Math
posted by Nessa .
Find the volume of a right circular cone of height h and semivertical angle a
(Hint: Rotate about the xaxis).

r/h = sin(a)
v = 1/3 pi r^2 h = 1/3 pi h^3 sin(a)
Respond to this Question
Similar Questions

calculus
Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal to each other. How fast is the height of the pile … 
Calculus
Gravel is being dumped from a conveyor belt at a rate of 50 cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal to each other. How fast is the height of the pile … 
Math
A right circular cylinder with a height of 20 cm and a right circular cone share a circular base and have the same volume. What is the height of the cone? 
calculus
Gravel is being dumped from a conveyor belt at a rate of cubic feet per minute. It forms a pile in the shape of a right circular cone whose base diameter and height are always equal to each other. How fast is the height of the pile … 
Maths
show that the semi vertical angle of a right circular cone of a given surface area and maximum value is sin1 (1/3) 
geometry
A cone has a circular base, a perpendicular height equal to 21cm, and a semivertical angle of 30degrees. Calculate the slant height of the cone. Find the area of its base.(take pie to be 22/7) 
Geometry
One right circular cone is set inside a larger circular cone. The cones share the same Axis, the same vertex, and the same height. Find the volume of the space between the cones of the diameter of the inside cone is 6in., the diameter … 
Maths
Show that the maximum volume of a cylinder of radius r which can be cut centrally from a right solid cone of height h and semivertical angle alpha is givenby (4pi/27)h^3tan^2alpha 
Maths
A right circular cone is circumscribed about a sphere of radius a .If h is the distance from the centre of the sphere to the vertex of the cone. Show that the volume of the cone is 1/3pi a^2(a+h)^2/(ha). Find the angle of a cone when … 
math
The height of a right circular cone is decreased by 6 percent. Find the percentage that the radius of the base must be decreased by so that the volume decreases by 20 percent. Recall that the formula for the volume of a right circular …