Can You Calculate The Volume In CU?ft Of A Drainage Pipe That Measures 8 Feet In Length And 24 Inches In Diameter.
All measurments must be in the same unit
All measurments must be in the same unit
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Volume in the drainage pipe is the quantity of drain (or water ) that occupy the space in 3 dimensional .Because it is given in the question that pipe is used for drainage purpose so it is considered as a rigid pipe and also given that its diameter is constant every where and of 24 inches
So volume formula of the cylinder can be used
Volume of the cylinder = п *(R^2)*L
= п *((D/2)^2)*L = п* ((D^2)/4*L (Because Diameter = 2*Radius)
Volume of the drainage pipe = п*(R^2)*L = п* ((D^2)/4*L
Length of the drainage pipe = L= 8 feet
Diameter of the drainage pipe = D = 24 inches = 24 /12 = 2 feet
(Because every foot is equal to 12 inches, so to convert the inches to foot, divide the inches with factor 12)
Radius of the drainage pipe =R = D/2 =24/2=12 inches= 12/12 =1foot
VOLUME IN CUBIC FEET OF THE DRAINAGE PIPE
Volume of the drainage pipe = п* (R^2)*L
= 3.14 * (1^2 ft)* 8 ft
=25.12 ft 3
OR
Volume of the drainage pipe = п* ((D^2)/4*L
= 3.14* ((2^2 ft)/4*8 ft
=25.12 ft 3
answered 2 years ago
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