Answer:
The volume of sphere N is 400cm3/8 = 50cm3
Explanation:
The volume of a sphere is given by the formula: V = 4/3 * π * r^3
where V is the volume, π is pi (approximately 3.14), and r is the radius of the sphere.
Given that the volume of sphere M is 400cm3 and the radius of sphere N is half the radius of sphere M, we can write an equation to find the volume of sphere N:
Vm = 4/3 * π * rm^3 = 400cm3
We know that radius of sphere N is half of sphere M so
rn = rm/2
So the volume of sphere N can be found by substituting the value of radius of sphere N in the sphere volume formula:
Vn = 4/3 * π * (rm/2)^3
Vn = 4/3 * π * (rm^3)/8
Vn = (Vm)/8
So, the volume of sphere N is 1/8th of the volume of sphere M, which is 400cm3.
The volume of sphere N is 400cm3/8 = 50cm3