Question

-The volume of a sphere is where r is the radius of the sphere. What is the volume, in cubic yards, of a sphere with a diameter of 4 yards?​

Answer 1

To find the volume of a sphere with a 4-yard diameter, calculate the radius (2 yards) and apply the volume formula: V = (4/3) π r^3, resulting in approximately 33.510 cubic yards.

Step-by-step explanation:

The volume of a sphere is given by the formula V = (4/3) π r^3, where V is the volume and r is the radius of the sphere. To calculate the volume of a sphere with a diameter of 4 yards, first we find the radius by dividing the diameter by 2, which gives us a radius of 2 yards. Then we substitute the radius into the formula to get the volume.

The calculation would be: V = (4/3) π (2 yards)^3 = (4/3) π (8 cubic yards) = (32/3) π cubic yards. Note that π (pi) is approximately 3.14159. Therefore, the volume of the sphere would be approximately 33.510 cubic yards when rounded to three decimal places.

Answer 2

Volume of sphere=4/3 pi r^2
=4/3pi(4)^2
=64/3pi or 67.02 cubic yards