The radius of a basketball is 10 inches, and the radius of a soccer ball is 9 inches. How much greater is the volume of the basketball than the soccer ball? Round to the nearest enth

Step-by-step explanation:

The basketball and football are spherical in shape.

The formula for determining the volume of a sphere is expressed as

Volume = 4/3 × πr³

Where

r represents radius of the sphere.

π is a constant whose value is 3.14

Considering the basketball,

Radius = 10 inches

Volume = 4/3 × 3.14 × 10³ = 4186.67 inches³

Considering the soccer ball,

Radius = 9 inches

Volume = 4/3 × 3.14 × 9³ = 3052.08 inches³

The difference between the volume of the basketball and the volume soccer ball is

4186.67 - 3052.08 = 1134.6 inches³

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

17.08

correct me if i am wrong.