The volume of a sphere is 523.33 ft cubed. To the nearest foot, what is the radius of the sphere? Use 3.14 for pi.
The volume of a sphere is 523.33 ft cubed. To the nearest foot, what is the radius of the sphere? Use 3.14 for pi.
The formula is V = (4/3) π r3
Plug in known values 523.33 = (4/3) • 3.14 • r3
Do a little arithmetic 523.33 = 4.187 • r3
Divide both sides by 4.187 128.047 = r3
We know that 5 cubed is 125, so the cube root of 128.047 will be slightly larger than 5.
To get the exact cube root,
I'll have to use a calculator ..... and the answer is ..... r = 5.04 see below
When I put 5.04 back into the formula, the answer came out high. This would be the effect of rounding that I did along the way. When I work it on the calculator with no rounding, then r3 = 124.999.... that's close enough to 125 to say the radius is 5, therefore r = 5.
.
The volume of a sphere is 523.33 ft cubed. To the nearest foot, what is the radius of the sphere? Use 3.14 for pi.
The formula is V = (4/3) π r3
Plug in known values 523.33 = (4/3) • 3.14 • r3
Do a little arithmetic 523.33 = 4.187 • r3
Divide both sides by 4.187 128.047 = r3
We know that 5 cubed is 125, so the cube root of 128.047 will be slightly larger than 5.
To get the exact cube root,
I'll have to use a calculator ..... and the answer is ..... r = 5.04 see below
When I put 5.04 back into the formula, the answer came out high. This would be the effect of rounding that I did along the way. When I work it on the calculator with no rounding, then r3 = 124.999.... that's close enough to 125 to say the radius is 5, therefore r = 5.
.
