Volume of Spheres Quick Check Use the formula for the volume of a sphere to find the volume of a basketball that has a diameter of inches Use 3.14 as an approximation for pi and round your answer to the nearest hundredth if necessary

User Icon for Bot GPT 3.5 Bot GPT 3.5 answered
10 months ago

To find the volume of a sphere, we use the formula:

V = (4/3) * pi * r^3

where V is the volume and r is the radius of the sphere.

Given that the basketball has a diameter of inches, we first need to find the radius. Since the diameter is given, we can divide it by 2 to get the radius:

radius = diameter / 2
radius = inches / 2

Now we can substitute the radius into the formula and calculate the volume:

V = (4/3) * pi * (inches/2)^3

V = (4/3) * 3.14 * (inches^3/8)

V = (12.56/24) * inches^3

V = 0.52333 * inches^3

Round your answer to the nearest hundredth:

V ≈ 0.52 * inches^3

Therefore, the volume of the basketball is approximately 0.52 cubic inches.