The pillars of a temple are cylindrically sha | vedclass

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(A) Since the concrete mixture used to build the pillars occupies the entire space of the pillar,we need to calculate the volume of the cylinders.Radi

Vedclass · Accepted Answer

$17.6$

Vedclass · Answer

(A) Since the concrete mixture used to build the pillars occupies the entire space of the pillar,we need to calculate the volume of the cylinders.Radius of the base of a cylinder $(r)$ $= 20\, cm = 0.2\, m$.Height of the cylindrical pillar $(h)$ $= 10\, m$.Volume of one cylindrical pillar $= \pi r^2 h$$= \frac{22}{7} 	imes (0.2)^2 	imes 10\, m^3$$= \frac{22}{7} 	imes 0.04 	imes 10\, m^3$$= \frac{8.8}{7}\, m^3$.Volume of $14$ such pillars $= 14 	imes 	ext{Volume of one pillar}$$= 14 	imes \frac{8.8}{7}\, m^3$$= 2 	imes 8.8\, m^3$$= 17.6\, m^3$.Thus,$17.6\, m^3$ of concrete mixture is required to build $14$ such pillars.

The pillars of a temple are cylindrically shaped (see Fig.). If each pillar has a circular base of radius $20\, cm$ and height $10\, m$,how much concrete mixture would be required to build $14$ such pillars (in $, m^3$)?

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