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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?
Correct answer is '3.5'. Can you explain this answer?
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One rectangular plate with length 8 inches, breadth 11 inches and 2 in...
Given Data:
- Rectangular plate dimensions: Length = 8 inches, Breadth = 11 inches, Thickness = 2 inches
- Circular rod diameter: 8 inches
- Volume of rectangular plate = Volume of circular rod
Solution:
Step 1: Calculate the Volume of the Rectangular Plate
- Volume of rectangular plate = Length x Breadth x Thickness
- Volume = 8 x 11 x 2 = 176 cubic inches
Step 2: Calculate the Volume of the Circular Rod
- Diameter of circular rod = 8 inches (Radius = 4 inches)
- Volume of circular rod = π x (Radius)^2 x Height
- Given that volume of circular rod = volume of rectangular plate
- π x 4^2 x Height = 176
- Height = 176 / (π x 16) ≈ 3.5 inches
Therefore, the length of the circular rod with a diameter of 8 inches and equal volume to the rectangular plate is approximately 3.5 inches.
- Rectangular plate dimensions: Length = 8 inches, Breadth = 11 inches, Thickness = 2 inches
- Circular rod diameter: 8 inches
- Volume of rectangular plate = Volume of circular rod
Solution:
Step 1: Calculate the Volume of the Rectangular Plate
- Volume of rectangular plate = Length x Breadth x Thickness
- Volume = 8 x 11 x 2 = 176 cubic inches
Step 2: Calculate the Volume of the Circular Rod
- Diameter of circular rod = 8 inches (Radius = 4 inches)
- Volume of circular rod = π x (Radius)^2 x Height
- Given that volume of circular rod = volume of rectangular plate
- π x 4^2 x Height = 176
- Height = 176 / (π x 16) ≈ 3.5 inches
Therefore, the length of the circular rod with a diameter of 8 inches and equal volume to the rectangular plate is approximately 3.5 inches.
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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?Correct answer is '3.5'. Can you explain this answer?
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