In a right cone, the distance between the vertex and any point on the boundary of the base is called the slant height l of a cone. If you draw a right cone, the slant height l, height h, and the radius r of the base form a right triangle. Therefore, the Pythagorean Theorem applies h^2 + r^2 = l^2. This relationship helps derive formulas for the lateral and surface area of a right cone.
The lateral area: L.A. = (pi)(r)(l)
The surface area: S.A. = (pi)(r)(l) +(pi)(r^2) = (pi)(r)(l + r)
Now, you need to find the surface area in terms of r and h. So you need to express l in term of h and r. The Pythagorean Theorem above gave you what you need. So substitute √(h^2 + r^2)for l into the surface area formula: S.A. = (pi)(r)[√(h^2 + r^2) + r]
If S.A. = 50 pi, then
50pi = (pi)(r)(l + r) divide by pi to both sides
50 = rl + r^2 subtract r^2 to both sides
50 - r^2 = rl divide by r to both sides
50/r - r = l
The radius of a cylinder given only the height could be anything you like.
The radius IS given, since height of hemisphere = radius of hemisphere!
That depends on its height which has not been given
no people of the same height have diffrent weights, a given height maps to more than one weight
The set of all points a given distance from a center point is a circle. The given distance is the radius, and the given point is the center. In 3 dimensional space, the set would be the surface of a sphere.
Entire surface area of a cylinder = (2*pi*radius^2)+(circumference*height) If you are given the circumference then radius = circumference/2*pi
The answer depends on what information you are given: volume and height, or surface area and height, etc.
The answer depends on what information you are given: volume and radius or diameter, or surface area and radius, etc.
You cannot. You need to know the height as well. If you know the height, the surface area, A is given by A = 2*Ï€*r2 + 2*Ï€*r*h where r is the radius and h the height.
2(pi)(r)(h)=the area of the curved surface
if you are given the circle's "height" then that is the diameter. the diameter is twice the length of the radius, so divide the height by two and you will get the radius.
Can not be done without the 'Given' radius and height.
The radius of a sphere is 1/2 of its height.
The radius of a cylinder given only the height could be anything you like.
The radius IS given, since height of hemisphere = radius of hemisphere!
Not enough information. For a given radius, the height might be anything.
Given a base radius of 6 and perpendicular height of 14, the curved surface area of the cone is 287.1 square units.