Question

the pillars of a temple are cylindrically shaped. If each pillar has a circular base of radius 20cm and height 10m, how much concrete mixture would be required to build 14 such pillars? explain how to do

Answer 1

Given :

• Radius of Cylinder = 20cm
• Height of Cylinder = 10m = 1000cm

To Find :

• how much concrete mixture would be required to build 14 such pillars

Solution :

✰ Since the concrete mixture that is to be used to build up the pillars is going to occupy the entire space of the pillar, what we need to find here is the volume of the cylinders.

⠀⠀

⟹ Volume of each Cylinder :

• Volume = πr²h
• Volume = 22/7 × (20)² × 1000
• Volume = 22/7 × 20 × 20 × 1000
• Volume = 22/7 × 400 × 1000
• Volume = 22/7 × 4,00,000
• Volume = 22 × 4,00,000 / 7
• Volume = 88,00,000 / 7

Since 1000000cm³ = 1m³

• Volume = 8.8/7 m²

________________

⟹ Volume of 14 Cylinder :

• V = Volume of 1 Cylinder × 14
• Volume = 8.8/7 × 14
• Volume = 8.8 × 2
• Volume = 17.6m³

So, 14 pillars would need 17.6m³ of concrete mixture.

________________

$\small\boxed{\begin{array}{cc}\large \red{\boxed{\sf\dag \: {\underline{Formulae \: Related \: to \: Cylinder :}}}} \\ \\ \bigstar \: \sf Area\:of\:Base\:and\:top =\pi r^2 \\ \\\bigstar \: \sf Curved \: Surface \: Area =2 \pi rh \\ \\ \bigstar \: \sf Total \: Surface \: Area = 2 \pi r(h + r) \\ \\ \bigstar \: \sf Volume=\pi r^2h \end{array}}$

Answer 2

Question :-

the pillars of a temple are cylindrically shaped. If each pillar has a circular base of radius 20cm and height 10m, how much concrete mixture would be required to build 14 such pillars?

Given:-

Radius of cylinder, r = 20cm

Height of cylinder, h = 10m

(convert it into cm) 10m = 1000cm

To find :-

How much concrete mixture would be required to build 14 such pillars?

We have to find the volume of cylinder.

Using formula :-

$\bf Volume \: of \: cylinder = \pi r^2 h$

Solution :-

Radius of cylinder = 20cm

Height of cylinder = 1000cm

$\rm Volume \: of \: cylinder = \pi r^2 h$

$\rm = \dfrac{22}{7} \times {20}^2 \times 1000$

$\rm = \dfrac{22}{7} \times 20 \times 20 \times 1000$

$\rm = \dfrac{22}{7} \times 400 \times 1000$

$\rm = \dfrac{22}{7} \times 400000$

$\rm = \dfrac{8800000}{7}$

We know that 1000000cm² = 1m³

Therefore,

$\bf Volume\: of \:cylinder = \dfrac{8.8}{7}cm^3$

Volume of 14 cylinder :-

Volume of 1 cylinder × 14

$\implies\rm \dfrac{8.8}{7} \times 14$

$\implies\rm 8.8 \times 2$

$\implies\rm 17.6 cm^3$

Therefore,

Volume of 14 cylinder = 17.6cm³.

The required concrete mixture would be 17.6cm³.