A spherical storage tank has a diameter of 14ft. How many cubic feet of water will it hold?
I'm supposed to find the answer using pi=22/7. I came up with 4312/3 as a final answer but I don't think that's right.
2006-11-26 13:33:02 · 7 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
The volume of a sphere is 4/3 * pi * (radius ^ 3)
as diameter is 14ft, radius will be 7 ft. and as pi is to be assumed as 22/7, volume should be
radius = 14/2 = 7ft
volume = (4 * 22 * 7 * 7 * 7)/3 * 7 = (4 * 22 * 7 * 7)/3 = 4312/3.
2006-11-27 20:14:22 · answer #1 · answered by pravkas 2 · 0⤊ 0⤋
The volume of a sphere is 4 Pi r^3/3
If you insist on using Pi as 22/7, and the radius is 7 (half the diameter) then the equation is
4 * 22/7 * 7^3 /3
4 * 22 * 49 /3
1437 1/3 cubic feet.
So you were right with your (4312)/3 answer
2006-11-26 21:40:11 · answer #2 · answered by Vincent G 7 · 0⤊ 0⤋
The volume of a sphere is 4/3 x pi x r^3.
If the diameter of your sphere is 14 ft, its radius is 7 ft.
Substituting, we get 4/3 x 22/7 x 7(ft)^3= 4312/3, or 1437 1/3 ft^3
Your answer is correct.
2006-11-26 21:40:23 · answer #3 · answered by operalph 4 · 0⤊ 0⤋
Volume of spherical tank V= 4/3 pi (r*r*r)
Per given problem d = 14 => r =7
Then V = 4/3 * 22/7 *343 = 1437.333333333333333333333333333
2006-11-30 12:31:15 · answer #4 · answered by Pavans 1 · 0⤊ 0⤋
Diameter = 14
Radius = 7
Volume of a sphere = (4/3)*(Pi)*(r)^3
=(4/3)*(22/7)*(7)^3
=(4/3)*(22/7)*343
=(4/3)*22*49
= (88*49)/3
= 4312/3 cubic feet
The answer you got is right.
2006-11-28 04:27:47 · answer #5 · answered by Akilesh - Internet Undertaker 7 · 0⤊ 0⤋
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2006-11-26 21:54:44 · answer #6 · answered by mqd p 1 · 0⤊ 0⤋
1437.3333333333333333333333333333cft
2006-11-26 22:06:26 · answer #7 · answered by Govinda 3 · 0⤊ 0⤋