What is the volume of a sphere with a radius of 7 cm rounded to the nearest cubic centimeter
a) 4,310 cm
b) 1,437 cm
c) 615 cm
d) 359 cm
It’s B-1,437cm
V = 4/3 * pi * r^3
V = 1.3333 * 3.14 * 343
V = ?
Which comes closest? Note that I used an approximate decimal equivalent for 4/3.
http://math.about.com/od/formulas/ss/surfaceareavol.htm
To find the volume of a sphere, you can use the formula:
V = (4/3) * π * r^3
Where V is the volume and r is the radius.
Let's substitute the given radius into the formula and calculate the volume.
V = (4/3) * π * 7^3
V = (4/3) * 3.14 * 343
V = 4.19 * 343
V ≈ 1436.97 cm
Rounded to the nearest cubic centimeter, the volume of the sphere is approximately 1,437 cm.
Therefore, the correct answer is b) 1,437 cm.
To find the volume of a sphere, you can use the formula:
V = (4/3) * π * r^3
where V is the volume and r is the radius of the sphere.
In this case, the radius is given as 7 cm. So, we can substitute this value in the formula:
V = (4/3) * π * 7^3
Now, let's calculate the volume.
V = (4/3) * 3.14 * 7^3
= (4/3) * 3.14 * 343
= 4.19 * 343
= 1436.97 cm^3
Since we need to round the volume to the nearest cubic centimeter, we find that the answer is 1,437 cm^3, which corresponds to option b).