We first need to find its radius. To do so, we will use the formula for the surface area of a sphere. The surface area of a sphere is four times the product of π and the square of the radius.
S.A.=4Ď€ r^2Let's substitute 25Ď€ for S.A. in the formula and solve for r.
Note that, when solving the above equation, we kept the principal root. This is because r is the radius of a sphere and therefore must be positive. The radius of a sphere with surface area 25Ď€ yd^2 is 52yd.
Now, let's find the volume of the sphere. The volume of a sphere is four thirds the product of π and the cube of the radius.
V=4/3Ď€ r^3
Since we already know that the radius is 52, we can substitute its value for r into this formula.
