Answer :
First you need to find the radius. To do that you need to divide the diameter by two;
45 / 2 = 22.5
Then you plug the radius in the formula for a sphere. Which is...
V = (4 / 3)πr^3
First you need to find the volume with out pi
V = (4/3) π (45)^3
V= π (4/3) (91,125)
Your answer with out pi is...
V= (68,343.75) π cm^3
And with pi is...
V = 214,708.22 cm^3
45 / 2 = 22.5
Then you plug the radius in the formula for a sphere. Which is...
V = (4 / 3)πr^3
First you need to find the volume with out pi
V = (4/3) π (45)^3
V= π (4/3) (91,125)
Your answer with out pi is...
V= (68,343.75) π cm^3
And with pi is...
V = 214,708.22 cm^3
Answer:
47732.14 cm³
Step-by-step explanation:
To find the volume of the sphere with a diameter of 45 cm, we simply use the formula for calculating volume of a sphere, since a base ball is also spherical in shape.
Volume of a sphere = 4/3 πr³
But in the question, we were given diameter, so we can find our radius using the diameter given.
radius = diameter / 2
radius = 45 / 2
radius(r) =22.5 cm
The constant value of π is always 22/7 or 3.142 unless stated otherwise.
We can now go ahead and insert our values into the formula;
Volume of baseball = 4/3 πr³
=4/3 × 22/7 × (22.5)³
= 1002375 / 21
=47,732.14 cm³
Volume of the baseball = 47,732.14 cm³