Find the length of the diameter of a sphere whose center is (0, 0, 0) and a point on the sphere (-6, -3, 7).?
470432
The radius of a sphere centered at (0,0,0) is the square root of x^2 + y^2 + z^6\n\nr^2 = 36 + 9 + 49 = 94\nr = 9.7\n\nSo, the diameter is 19.4 (two times the radius)
303304
Use the well known formulas that relate the radius and diameter of a circle to its circumfrence.\n\nC = pi * D\nC = 2 * pi * R\n\nFor pi, you can use 3.14 or 22/7, or whatever value your teacher wants you to use.
975805
1. A sphere with a diameter of 16 mm has the same surface area as the total surface area of a right cylinder with the base diameter equal to the sphere diameter. how high is the cylinder?\nA (sphere)=4*pi*r^2=4*pi*8^2=256*pi mm^2\nA cylinder=2*pi*r^2+2*pi*r*h==128*pi+16*pi*h\nA sphere=A cyl\n256*pi=128*pi+16*pi*h\n128*pi=16*pi*h\n8=h\nheight is 8 mm\n\n2. find the volume of a frustum of a right pyramid whose lower base is a square with a side 5 in. , whose upper base is a square with a side 3 in. , and whose altitude is 12 in.?\n\nB1 area=25in^2\nB2 area=9in^2\naltitude=3\nV=1/3(3)(25+15+9)=49in^2\n\n3. The figure formed by the intersection of a solid with a plane parallel to the base of the solid is congruent to the base if the solid is a........? \n\nprism
149565
cool! I'll think about it\n\n---\n\nhere I am.\nUse the two perpenducular segments as a coordinate system with O on their intersection.\n\nSay: the 4-3 segment defines the x axis, and the 2-6 segment defines the y axis.\nYou know four points belonging to the circle: (-4;0),(0;-2),(3;0) and (0,6)\nThe center of the circle has the mean value between -4 and 3 as its x and the mean value between -2 and 6 as its y (property of chords: the center is on the chord's axis)\n\nso the center's coordinates are C(-1/2;2)\n\nNow you can easily calculate the distance between C and anyone of the four points you know to get the radius.\n\nThen finish finding the diameter\n\n----
877827
Is that a single diameter?  Your statement is ambiguous.\n\nAssuming that it is, find the distance between those two points.  Halfway between the two points is the center
1102035
THE CORRECT ANS IS\n\n                 (x-a)^2+(y-b)^2+(z-c)^2=r^2\n         \n                 where (a, b, c) is the centre of the sphere\n                 and 'r' is the radius \n                  this gives only surface of the sphere\n                  for its interior part '=' is replaced by '<'
329292
V=(4/3)*pi*r^3\n\nwhere r is the radius of the sphere and V is volume.
71470
3.1416 X radius squared\n12" circle= 6" radius\n6" X 6" = ? X 3.1416(pi)= ?\nGot the picture?\nNot going to do your homework for you.\n\n(sorry Lucky Lady but pi X diameter is the circumference)
1137727
I like the joke!  To play along, I define:\nr = metric r  and \nd = metric d\n\nV = (pi/3)*(d^2)*(3r - d)\n\nThis will work for the tank being any fraction of a sphere, not just 1/2
71760
area := Πr2\ncircumference := Πd  ,  r=radius, d=diameter, Π=3.14128....
803161
That's the equation of a circle of radius 12 & the center at (6,4)
135768
Area = Pi times the radius squared (A=pr2)\nIf you need to know how to find the radius, go here:\n\nhttp://math.about.com/library/blcircle.htm
802377
Assume that the sphere is centered at (0,0,0)\nStart out by slicing the sphere through its center and looking at the cross section of the sphere and the cylinder. You will have a rectangle inscribed inside a circle.\n\n\nDraw a line from the center of the rectangle to the corner of the rectangle that is in the first quadrant. It will have length r since it is a radius of the sphere.  Let t be the angle the radius makes with the positive x axis. \n\nThe height of the cylinder is   r*sin(t).\nThe radius of the cylinder is r*cos(t)\n\nThe surface area is 2*pi*r^2cos^2(t) + 2*pi*rcos(t)rsin(t)\n\nTake the derivative and find the max.
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Ok, If A is a point on the circle and C is the middle of the circle then AC is the RADIUS of the circle.  Which means any point on the circle to C WILL ALWAYS be 12.  So if the excess of the circle to B is 8, then Add the RADIUS to the distance to B, and we arrive at the result of 20. Which is AC + (Distance of circle to B)\n\n20
787381
m = (7-4)/(6-8) = -3/2
1047892
OK, let p be pi, OK?\n\nThe volume of the sphere is 4*p*r^3/3...\n\nNOW, the first derivative of that, with respect to the radius, is:\n\n4*p*r^2 dr\n\nSO, you can approximate the answer by:\n\n(4*p*3^2)*0.01\n\nThat'd give you 0.36*pi cubic inches, which would be b
579127
what is the diameter....? Just multiply the diameter times pi. (3.14)