I assume you are given a cone. In that case, the vertical cross-section of the cone is a right triangle, with the sides related by the formula,
L2 = H2 + r2 (where L is the length, H is the height and r is the radius.)
In that case, rearrange the formula and you'll get
r2 = L2 - H2 or
r = sqrt(L2 - H2).
Not enough information is given to work out the radius of the circle as for instance what is the length of sector's arc in degrees
The capacity of a cylinder is its volume which is the area of an end times the cylinder's length (height). If the cylinder has radius r and length h, its volume (capacity) is: {pi}r2h
Volume = Length x Width x Height. If the prism is square, then either Height = Width or Height = Length In the first case, Volume = Length x Width2 and so Width = sqrt(Volume/Length) and Height = Width. In the second case, Volume = Length2 x Width and so Width = Volume/Length2 and Height = Length.
depends on the information given, but radius is half of the diameter.
The slant height is the hypotenuse of the right triangle formed by the height of the cone and the radius of the base. Use the Pythagorean theorem. The Pythagorean theorem (radius)2 + (perp. height)2 = (slant height)2
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Not enough information is given to work out the radius of the circle as for instance what is the length of sector's arc in degrees
length work
The way you can work out the length of a triangle is if you are given the height and the area of that triangle ( this works of you don't want to measure it) or you could just measure it.
The capacity of a cylinder is its volume which is the area of an end times the cylinder's length (height). If the cylinder has radius r and length h, its volume (capacity) is: {pi}r2h
Volume = Length x Width x Height. If the prism is square, then either Height = Width or Height = Length In the first case, Volume = Length x Width2 and so Width = sqrt(Volume/Length) and Height = Width. In the second case, Volume = Length2 x Width and so Width = Volume/Length2 and Height = Length.
The area of a circle is equal to that of a triangle whose base has the length of the circle's circumference (distance around the circle) and whose height equals the circle's radius which comes to Pi multiplied by the radius squared. Area of Triangle 1/2 *base*height
Length
depends on the information given, but radius is half of the diameter.
Volume = pi*radius2*height
A cuboid, of a given volume, has minimum length etc when each of them is equal to the cube root of the volume.
The slant height is the hypotenuse of the right triangle formed by the height of the cone and the radius of the base. Use the Pythagorean theorem. The Pythagorean theorem (radius)2 + (perp. height)2 = (slant height)2