A cone whose radius is 4 and its height is 27 has a volume of 452.4 units3
The volume of a cone is pi(r2h)/3 If the radius and height are both tripled, plugging this into the equation gives us pi(3h(3r)2)/3 =pi(3h9r2)/3 =27pi(r2h)/3 which is 27 times the initial volume. Thus if the radius and height of a cone are tripled, the volume multiplies by 27.
Volume of cone = 1/3*pi*r2*h Volume = 1/3(pi)(12)2(27) = 4072 cubic units =============
The original volume is multiplied by 27.
The formula for the volume of a right cone (and pyramid) is 1/3 base x height, therefore the volume of this cone is :Base = 3 x 3 x piHeight = 9Volume = 27 x pi, or roughly 84.8 units squaredNote: On a math test or quiz, you will lose marks for not saying units squared.
Volume of the cone: 1/3*pi*1.75^2 *8.4 = 27 cubic feet rounded
(4/27)*pi*R3*tan(x) R being the radius of the base of the cone.
The radius of a cylinder is independent of its height.
The volume increases 27-fold.
Volume of the sphere varies as the cube of the radius.Tripling the radius increases the volume by a factor of (3)3 = 27.It takes 27 spherical volumes with radius 'r' to fill one spherical volume with radius '3r'.
The volume increases by a factor of (3)3 = 27 times.
V(3)=4/3 27 pie