What is the lateral area of a cylinder with radius 3 m, and height 4 m?
354751
Find the circumference: 2 X 3.14 X 3\n\nThe lateral area is exactly like the area of a rectangle, so the width of the rectangle=circumference.\n\nCirc X 4 (height) = 75.36
297357
http://www.webmath.com/geo_cylinder.html\nif u want examples go to this link or find another link on yahoo
430786
The formula for the capacity or volume, V, of a cylinder is:\n\nV = Π(d^2)h/4\nwhere:\nΠ = 3.1416 (value up to 4 decimal places)\nd = diameter of the cylinder\nh = height of the cylinder\n\nSo, merely substitute the values that you have and you will get the capacity or volume of the cylinder. Just make sure to use similar unit of measures both for the diameter and the height.
47332
Find the radius from the diameter by dividing it by 2.  So r = 44000 miles\n\nSurface area of any sphere = 4 * pi * r * r\n\npi = 22/7\n \nPlug in the values and you will get the surface area of Jupiter.
747001
I'm assuming you are familiar with calculus.  Consider an infinitesimal cylinder at height 'y' of thickness 'dy'.  The surface area of that cylinder is 2*pi*Radius*thickness.  Here the radius is simply 3e^2y, and 'dA' the infinitesimal area is given by 2*pi*3e^2y*dy.  To get the total area gotten by rotating this curve, (note we don't have to do any rotation as its already factored in by the assuming an infinitesimal cylinder) simply integrate between 0-3 the above expression, which I leave as an excercise for you.  Hope this helps.
458187
find the area of the base and multiply it by the height\n\n(1/2)*b*h1*h2  for a triangular prism h1 is height of the triangle, h2 is the height of the prism\n\npi*(r^2)*h for cylinder, h is height, r is radius of the base
311471
lateral surface area of a cone = pi*r*l\n\nwhere \n         pi = 3.14( a mathematical constant)\n         r = radius of base of cone\n         l = slant height of cone\n           =  square root of sum of squares of base radius  and height of cone\n         h = height of cone from centre of base circle to apex of cone\n          l = sq rt(r*r + h*h)
741778
This is not tricky at all. The volume is 1-1/2 cylinders of "height" 50,000 meters and radius 4 meters.\n\nThe formula for the volume of a cylinder is\n\nV = pi * r^2 * h
421815
Given that the volume of the cylindrical can is 100 cm^2...\n\n100 = (pi)r^2h\n\ndivide both sides by (pi)r^2 to isolate h\n\nh = 100/(pi)r^2\n\nSo, if the radius is 2 cm...\n\nh = 100/((pi)*4) - r^2 = 2^2 = 4\n\nh = 7.96 cm, rounded to first two decimal places, using 3.14 as the value for pi.
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
818544
3.5 by 4.5 km or 15.75 sq. km
438041
Since they r similar,\n\nDivide the Area of the larger cylinder by the smaller one,\n49(3.142)/25(3.142) to receive proportionality\n\n= 1.96\n\nTherefore 1.96 * volume smaller cylinder,\n\n1.96*50(3.142) = 307.8 = 98(3.142) [The Volume of the larger cylinder]
1173297
Well, the circumscribed cylinder will have a radius equal to that of the sphere, and a height equal to the sphere's diameter (which is twice its radius).\n\nS.A. of a sphere = 4*pi*r^2\n\nS.A. of the lateral part of a cylinder = (perimeter of endcap)*(height of cyl.)\n= (2*pi*r)*(diam. of sphere)\n= (2*pi*r)*(2*r)\n= 4*pi*r^2\n\nQ.E.D. :)\n\nHope that helps.
1142473
The volume of a cylinder equals the (area of the base)*height = π r2h
890633
1. total area of a box of sides a,b,c is 2(ab+bc+ca)\na=4,b=3,c=6 => surface area = 108 sq.ft\n..\n2.Lateral area = pi*radius*slant ht\npi=3.1415,radius=2m(4m/2), slant ht=15m\nans is 188.49sq.metres\n..\n3.   volume of pyramid = (1/3)* height * base area\n= (1/3)* (6) * (6*6)\n= 72 cu.metre\n..\n4. lateral area of cylinder = 2*pi* radius* height\n=2*3.1415*12*60\n=4523.76cu. mm\n..\n5. total surface area = outer surface + inner surface + top surface + bottom surface\n= 2*pi*8*height + 2*pi*5*height + 2 times ( pi*(8-5)^2)\n[the last term is the sum of top and bottom surfaces which are circular rings]\nheight is not given :(
174332
The surface area of a sphere is A=4*pi*r^2 where r is the radius of the sphere. The *volume* is (4/3)*pi*r^3.
466950
Volume = Area x height\nArea = r x r x pi\npi is approximated by the fraction 22/7\nTherefore Volume of cylinder = 4 x4 x 22/7 x7 = 352 units^3