dazzle me
2006-10-12 17:05:43 · 8 answers · asked by honest abe 4 in Science & Mathematics ➔ Mathematics
First multiply each side of the equation by 3. This yields:
192 = 4(pi)(r^3). Next, divide by 4
48 = pi(r^3) Divide by pi = 3.14
15.2866 = r^3 Now, take the cube root of both sides
2.4818 = r.
2006-10-12 17:12:08 · answer #1 · answered by iuneedscoachknight 4 · 0⤊ 0⤋
64=(4)(pi)(r^3)/3
Get the cube root of each side:
4=(4)^1/3(pi)^1/3(r)/3^1/3
Divide both sides by (4)^1/3(pi)^1/3 and multiply each side by 3^1/3:
(3)^1/3(4)/4^1/3/(pi)^1/3=r
If you have a calculator you can simplify the left hand side to get the value of r.
2006-10-13 12:22:14 · answer #2 · answered by tul b 3 · 0⤊ 0⤋
the equation 4/3 (pi) r*3 is the formula of a sphere or ball.
In you case multiple both sides by 3/4 which will give you
48= (pi) r*3 divide both side by (pi or 3.14)
15.2866= r*3
r= [15.2866]*1/3
r=2.48
2006-10-13 00:23:40 · answer #3 · answered by mystic_golfer 3 · 0⤊ 0⤋
Standard algebraic manipulation:
r = ((3*64)/(4Ï))^(1/3)
2006-10-13 00:18:06 · answer #4 · answered by Helmut 7 · 0⤊ 0⤋
64 = (4)(pi)(r^3)/3
(3*64)/(4pi) = r^3
(3*16/pi) = r^3
(48/pi)^(1/3) = r
2*(6/pi)^(1/3)= r
2006-10-13 00:10:03 · answer #5 · answered by sft2hrdtco 4 · 0⤊ 0⤋
r^3 = 64*3 / (4*pi) = 48/pi, so r = cbrt(48/pi) = 2.4814.
2006-10-13 00:11:39 · answer #6 · answered by James L 5 · 0⤊ 0⤋
2.481402
2006-10-13 01:17:50 · answer #7 · answered by ? 4 · 0⤊ 0⤋
r= 2.481401964
2006-10-13 00:09:27 · answer #8 · answered by Mixedbrunette 3 · 0⤊ 0⤋