The pillars of a temple are cylindrically shaped. Each pillar has a circular base of radius 20 cm and height 10 m.
Question:
The pillars of a temple are cylindrically shaped. 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?
Solution:
Radius of each pillar, r = 20 cm = 0.2 m (1 m = 100 cm)
Height of each pillar, h = 10 m
Volume of concrete mixture used in each pillar $=\pi r^{2} h=\frac{22}{7} \times(0.2)^{2} \times 10 \mathrm{~m}^{3}$
∴ Amount of concrete mixture required to build 14 such pillars
= Volume of concrete mixture used in each pillar × 14
$=\frac{22}{7} \times(0.2)^{2} \times 10 \times 14$
$=17.6 \mathrm{~m}^{3}$