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One Rectangular plate with length 8 inches breadth 11 inches and 2 inches thickness is there. What is the length of the circular rod with diameter 8 inches and equal to volume of rectangular plate ?
- a)3.5 INCHES
- b)3.1 INCHES
- c)2.5 INCHES
- d)3.2 INCHES
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
One Rectangular plate with length 8 inches breadth 11 inches and 2 inc...
Volume of rectangular plate = Volume of circular Rod
l*b*h =
πr^2H
11*8*2 = 22/7*4^2*H
H = 3.5 inches ans
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Community Answer
One Rectangular plate with length 8 inches breadth 11 inches and 2 inc...
To find the length of the circular rod, we need to calculate the volume of the rectangular plate and then use that volume to find the length of the rod.
Step 1: Calculate the volume of the rectangular plate
The volume of a rectangular plate is given by the formula: Volume = Length * Breadth * Thickness
Given that the length is 8 inches, breadth is 11 inches, and thickness is 2 inches, we can substitute these values into the formula:
Volume = 8 inches * 11 inches * 2 inches
Volume = 176 cubic inches
Step 2: Calculate the volume of the circular rod
The volume of a cylinder (which is the shape of the circular rod) is given by the formula: Volume = π * (radius)^2 * height
Given that the diameter of the circular rod is 8 inches, the radius is half of the diameter, which is 4 inches. The height of the rod is unknown, so let's assume it to be 'h'.
Volume = π * (4 inches)^2 * h
Volume = 16πh cubic inches
Step 3: Equate the volumes of the rectangular plate and the circular rod
Since the volume of the circular rod is equal to the volume of the rectangular plate, we can equate the two values:
16πh = 176
Step 4: Solve for 'h'
Divide both sides of the equation by 16π:
h = 176 / (16π)
h ≈ 3.5 inches
Therefore, the length of the circular rod is approximately 3.5 inches. Hence, option A is the correct answer.
Step 1: Calculate the volume of the rectangular plate
The volume of a rectangular plate is given by the formula: Volume = Length * Breadth * Thickness
Given that the length is 8 inches, breadth is 11 inches, and thickness is 2 inches, we can substitute these values into the formula:
Volume = 8 inches * 11 inches * 2 inches
Volume = 176 cubic inches
Step 2: Calculate the volume of the circular rod
The volume of a cylinder (which is the shape of the circular rod) is given by the formula: Volume = π * (radius)^2 * height
Given that the diameter of the circular rod is 8 inches, the radius is half of the diameter, which is 4 inches. The height of the rod is unknown, so let's assume it to be 'h'.
Volume = π * (4 inches)^2 * h
Volume = 16πh cubic inches
Step 3: Equate the volumes of the rectangular plate and the circular rod
Since the volume of the circular rod is equal to the volume of the rectangular plate, we can equate the two values:
16πh = 176
Step 4: Solve for 'h'
Divide both sides of the equation by 16π:
h = 176 / (16π)
h ≈ 3.5 inches
Therefore, the length of the circular rod is approximately 3.5 inches. Hence, option A is the correct answer.
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One Rectangular plate with length 8 inches breadth 11 inches and 2 inches thickness is there. What is the length of the circular rod with diameter 8 inches and equal to volume of rectangular plate ?a)3.5 INCHESb)3.1INCHESc)2.5 INCHESd)3.2INCHESCorrect answer is option 'A'. Can you explain this answer?
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