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Area and Volume
A rectangular plate with length 8 inches, breadth 11 inches and thickness 2 inches is available. What is the length of the circular rod with diameter 10 inches and equal to the volume of the rectangular plate?
Read Solution (Total 5)
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- 2.24 inches
Volume of rectangular plate=8*11*2=176 sq.inch
Volume of the rod(cylinder)with r=5 & length=h is given by Pi*(r^2)*h=176
(22/7)*(5^2)*h=176, h=176*7/(22*25)=1232/550= 2.24 - 11 years agoHelpfull: Yes(26) No(0)
- Volume of rectangular plate is = l*b*h =8*11*2 = 176
Volume of circular rod is = pie*(radius^2)*h
Now According To Question:
Rectangular plate volume =Volume of circular rod
176= (22/7)*(5^2)*h (Radius = Diameter/2)
h= 2.24 inches - 11 years agoHelpfull: Yes(6) No(0)
- since we know that vol. of rectangle = L*B*H and vol. of circular rod = 2*3.14*r
so L*B*H=2*3.14*R
8*11*2=2*3.14*5*L ------(1)
from eqn. (1)
L=5.60inch. - 11 years agoHelpfull: Yes(2) No(7)
- 2.24 inches
volume of rod= pi*r^2*l=volume of plate - 11 years agoHelpfull: Yes(0) No(0)
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- 10 years agoHelpfull: Yes(0) No(0)
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