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.
V = (1/3) × (Π × r2 × h)Where, h = Height m = Slant Height V = Volume r = Radius of Base
Where slant height is 7ft and base radius is 4.5ft, the volume of a right circular cone will be 113.705 units cubed.
The Volume of a Right Cylinder is simply the volume of a circular prism. By 'right' I mean that the congruent top is directly above the base (with the radius of the circular base being at 90 degrees to the VERTICAL height). If the cylinder is oblique (where the top circle is NOT directly above the base) then the VERTICAL height must still be found first! The volume of ANY right prism is found by multiplying it's cross-sectional area by it's length (or height - depending upon whether it's lying 'flat' on a horizontal surface or is standing upright, etc..) Volume = Area of circular 'end/ base' * it's vertical height. (Note: The area of it's circular base is : pi * R^2 (R = radius of the circle) ). STEVE EASTOP.
You use the formula for the volume of a right-circular cone:Volume = 1/3 (pi) x (radius of the base)2 x (height).Put the numbers you know into the formula, and it'll fix you right up.That's why it's so handy to know these formulas, or at least to knowwhere you can find one of them when you need it.
Assuming it is a right cone, use Pythagoras - slant height = hypotenuse, other two sides = radius of base, and height.
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V = (1/3) × (Π × r2 × h)Where, h = Height m = Slant Height V = Volume r = Radius of Base
Where slant height is 7ft and base radius is 4.5ft, the volume of a right circular cone will be 113.705 units cubed.
The Volume of a Right Cylinder is simply the volume of a circular prism. By 'right' I mean that the congruent top is directly above the base (with the radius of the circular base being at 90 degrees to the VERTICAL height). If the cylinder is oblique (where the top circle is NOT directly above the base) then the VERTICAL height must still be found first! The volume of ANY right prism is found by multiplying it's cross-sectional area by it's length (or height - depending upon whether it's lying 'flat' on a horizontal surface or is standing upright, etc..) Volume = Area of circular 'end/ base' * it's vertical height. (Note: The area of it's circular base is : pi * R^2 (R = radius of the circle) ). STEVE EASTOP.
Volume of a CylinderThe volume of a cylinder is the product of the area of its base and its height. Because a cylinder has a circular base, the volume of a cylinder is: Pi x r squared x hwhere r is the radius of the circular base and his the height.
Suppose the radius of the sphere is R. The base of the cone is the same as the base of the hemisphere so the radius of the base of the cone is also R. The apex of the cone is on the surface of the hemisphere above the centre of the base. That is, it is at the "North pole" position. So the height of the cone is also the radius of the sphere = R. So the ratio is 1.
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)
You use the formula for the volume of a right-circular cone:Volume = 1/3 (pi) x (radius of the base)2 x (height).Put the numbers you know into the formula, and it'll fix you right up.That's why it's so handy to know these formulas, or at least to knowwhere you can find one of them when you need it.
Assuming it is a right cone, use Pythagoras - slant height = hypotenuse, other two sides = radius of base, and height.
The vertex of the cone would reach the very top of the sphere, so the height of the cone would be the same as the radius of the sphere. Therefore the ratio is 1:1, no calculation is necessary.
Find the area of the circular base with 'pi x radius-squared', then multiply this value by the length or height of the cylinder
you do the area of the base (circle - pi*radius squared) times the height (measure the tubular face).