Question

A circular pipe is 30 M long and its external and internal diameter are 5cm and 6cm respectively find the volume of material used in making the pipe also find the total surface area of the search

Answer 1

Answer:

The volume of material used in making pipe is 103620 cu.cm and its total surface area is 113266.08sq. cm

Answer 2

volume of the material used = 0.02592 m³

total surface area =10.36 m²

Step-by-step explanation:

length of the circular pipe = height of the pipe =  30 m = 3000 cm

internal diameter = 5 cm

radius (r) = $\frac{5}{2}$

external diamter = 6 cm

radius (R) = 3 cm

external volume = $\pi R^2h$

= $\frac{22}{7}\times3\times3 \times3000$

= $\frac{594000}{7}$

= 84857.14 cm³

internal volume =

$\frac{22}{7}\times\frac{5}{2} \times\frac{5}{2}\times 3000$

=58928.57 cm ³

volume of the material used = external volume - internal volume

84857.14 cm³ - 58928.57 cm³

= 25928.57 cm³

= 0.02592 m³

total surface area = $2\pi h(R+r) + 2\pi (R^2- r^2)$

=$2\times\frac{22}{7}\times 3000(3+2.5)+ 2\times\frac{22}{7} \times (9 - 6.25)$

= $\frac{132000}{7 } \times (5.5) + \frac{44}{7} \times (2.75)$

= 103714.28 - 17.285

= 103696.995  cm²

=10.36 m²

hence,

volume of the material used = 0.02592 m³

total surface area =10.36 m²

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