volume of a sphere
By Christopher Ramos
volume of a sphere - 3-dimensional space occupied by a sphere
A spherical water tank holds 11,500ft^3 of water. What is the diameter?
A spherical water tank holds 11,500ft^3 of water. What is the diameter?
The tank holding amount is volume. And the volume of a sphere is:
V = (4pir^3)/3
We know that radius is 1/2 of diameter:
r =d/2
So we rewrite our volume function:
V = 4/3(pi(d/2)^3)
We're given V = 11,500 so we have:
4/3(pi(d/2)^3) = 11500
Multiply each side by 3/4
4/3(3/4)(pi(d/2)^3) = 11,500*3/4
Simplify:
pi(d/2)^3 = 8625
Since pi = 3.1415926359, we divide each side by pi:
(d/2)^3 = 8625/3.1415926359
(d/2)^3 = 2745.42
Take the cube root of each side:
d/2 = 14.0224
Multiply through by 2:
[B]d = 28.005[/B]
Assume that a balloon is spherical shaped. If you have a balloon with the radius of 3, whats the vo
Assume that a balloon is spherical shaped. If you have a balloon with the radius of 3, whats the volume?
Using our [URL=' calculator[/URL], we get Volume (V):
V = [B]36pi or 113.0973[/B]
Hemisphere
Free Hemisphere Calculator - Calculates the base circumference, volume, curved surface area, base surface area, total surface area of a hemisphere with radius r
Spheres
Free Spheres Calculator - Calculates and solves for Volume (Capacity), Surface Area, and Radius of a Sphere.
