The volume of the larger sphere will be 27 times the original. Here's the math:
Volume of sphere of radius r is (4/3) x pi x r3
Volume of sphere of radius 3r is (4/3) x pi x (3r)3 or 27r3
It depends on the shape. The volume of a sphere will increase differently to the volume of a cylinder, for example.
The volume increases faster. (proportional to the cube of the radius)The surface area increases slower. (proportional to the square of the radius)
The volume increases by a factor of (3)3 = 27 times.
The volume of a sphere with a radius of 13 is: 9,203 units3
The volume of a sphere with a radius of 18 is about 24,429 units3
If the radius of a sphere is tripled, the surface area increases by (3)2 = 9 times, and the volume increases by (3)3 = 27 times.
The volume increases 27-fold.
It depends on the shape. The volume of a sphere will increase differently to the volume of a cylinder, for example.
The volume increases to 9 times as much.
The new volume is 3^3 = 27 times as much.
The volume increases faster. (proportional to the cube of the radius)The surface area increases slower. (proportional to the square of the radius)
The volume increases by a factor of (3)3 = 27 times.
If the radius of a sphere is doubled, the surface area increases by (2)2 = 4 times, and the volume increases by (2)3 = 8 times.
The volume of a sphere with a radius of 13 is: 9,203 units3
The volume of a sphere with a radius of 4cm is about 268cm3
The volume of a sphere with a radius of 18 is about 24,429 units3
The volume of a sphere with a radius of 2cm is about 33.5cm3