what is the radius of a sphere with volume the volume 184cm3, correct to 2 decimal places.
r≈3.53cm
The following formula can be used to find the area of a sphere:
Let V= volume
Let r= radius
V=43πr3
Now, let's plug the information we know back into the equation. We know that the volume equals 184cm3 ,so let's use that and then isolate r, the radius:
184=43πr3 | Multiply by 3/4 on both sides |
138=πr3 | Divide by π on both sides |
138π=r3 | Take the cube root of both sides |
r=3√138π≈3.53cm | Evaluate estimation with a calculator |
sphere volume=(4/3)ㅠr3
184/(4/3) = 138
138/pi = 43.9267642933631127
sqrt3(43.9267642933631127) = 3.5283885540070255616
radius = 3.53