A pipe 4.8m long is made of metal 30mm thick,if the external radius 15cm find the volume of metal in the pipe to the nearest cm
Answers
Answer:
The correct answer is
122194285.7142 mm^3
Concept
Volume is that the amount of space in an exceedingly certain 3D object. for example, a vivarium has 3 feet long, 1 foot wide and two feet tall. to search out the quantity, you multiply length times width times height, which is 3x1x2, which equals six. that the volume of the aquarium is 6 cubic feet. Finding the degree of an object can help us to see the number required to fill that object, just like the amount of water needed to fill a bottle, an aquarium or a cistern.
Given
pipe 4.8m long
metal 30mm thick
external radius 15cm
To find
volume of metal in the pipe to the nearest cm
Step-by-step explanation:
h = 4.8 m = 4800 mm
W = 30 mm
R = 15 cm = 150 mm
r= R – w
= 150 – 30
= 120 mm
Volume = πh (r+R)(R-r)
= 22/7 × 4800 (120+150)(150-120)
= (22÷7)×4800×270×30
= 122194285.7142 mm^3
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Answer: Volume of metal is 122083.20 cm³
Step-by-step explanation:
External radius (R) = 15 cm
Thickness of pipe = 30 mm
Thickness of pipe = 30/10 cm = 3 cm
Inner radius (r) = 15 - 3 = 12 cm
Height of pipe (H) = 4.8 m = 480 cm
Volume of metal = Volume of outer cylinder - Volume of inner cylinder
Volume of metal = πR²H - πr²H
Volume of metal = πH (R² - r²)
Volume of metal = π × 480 × (15² - 12²) cm³
Volume of metal = 3.14 × 480 × 27 × 3 cm³
Volume of metal = 122083.20 cm³
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