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
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.