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03 Dec 2018, 07:24
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The figure above shows the shape of a sign to be placed in front of a flower store. The sign has a semicircle on each side of the square. If the sign is 3 centimeters thick and if each side of the square is 50 centimeters long, what is the volume, in cubic centimeters, of the sign?
(A) 1,250\(π\) + 2,500
(B) 3,750\(π\)
(C) 3,750\(π\) + 7,500
(D) 5,000\(π\) + 7,500
(E) 11,250\(π\)
Attachment:
Flower.JPG [ 10.09 KiB | Viewed 12615 times ]
03 Dec 2018, 21:19
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Area of the cuboid = 50*50*3 = 7500.
Eliminate A,B and E.
Area of the sector = \(\frac{180}{360}*π*25^2\) = \(\frac{625π}{2}*3\)
Now, the area of 4 such sectors = \(\frac{625π}{2}*3*4\) = 3750π.
Total area = 3750π+7500.
C is the answer.
Eliminate A,B and E.
Area of the sector = \(\frac{180}{360}*π*25^2\) = \(\frac{625π}{2}*3\)
Now, the area of 4 such sectors = \(\frac{625π}{2}*3*4\) = 3750π.
Total area = 3750π+7500.
C is the answer.
General Discussion
04 Dec 2018, 13:43
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HKD1710
The figure above shows the shape of a sign to be placed in front of a flower store. The sign has a semicircle on each side of the square. If the sign is 3 centimeters thick and if each side of the square is 50 centimeters long, what is the volume, in cubic centimeters, of the sign?
(A) 1,250\(π\) + 2,500
(B) 3,750\(π\)
(C) 3,750\(π\) + 7,500
(D) 5,000\(π\) + 7,500
(E) 11,250\(π\)
Attachment:
Flower.JPG
Volume of Cube = Area of square * width of cube = \(2500*3\) =\(7,500\)
Area of circle is \(piR^2\)
Area of semicircle \(\frac{piR^2}{2}\)
Volume of semicircle \(\frac{piR^2}{2}\)*\(height\)
Area of 4 semicircles \(pi25^2\)*4(sides) = 2,500 *\(\frac{1}{2}\)*3 = \(3,750\)
(C) 3,750\(π\) + 7,500
