Question

*A cylindrical pit with a depth of 5 m and a radius of 2 m was constructed. What is the volume of soil dug out?*

1️⃣ 71 cubic cm
2️⃣ 20 cubic m
3️⃣ 20 cm
4️⃣ 200 sqcm​

Answer 1

Given ;

• Depth of the pit = 5 m
• Radius of the pit = 2 m

To find ;

Volume of the soil dug out.

Something regarding the solution ;

As we know, The pit is in the form of cylinder so,

$\bf\green{\pi {r}^{2}h} = \rm\red{ Volume \: of \:cylinder}$

Solution :-

Given,

depth = 5 m

radius = 2 m

Volume of the cylinder = $\bf\pi {r}^{2}h$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \implies \frac{22}{7}\times 2 \times 2 \times 5$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \implies \frac{440}{7}$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \therefore$ 62.85 $\rm{m}^{3}\rm\red { [Approx] }$

━━━━━━━━━━━━━━━━━━━━━━━━━━━━━━

This is the Answer :- 62.85 m³ { Approx }

$\large \fbox \red {Hope \: it \: helps \: you}$

Answer 2

Given :-

• Depth of cylindrical pit = 5m .
• Radius of cylindrical pit = 2m .

To Find :-

• The volume of soil dug out ?

Solution :-

we know that,

• 1 m = 100 cm.
• Volume of cylinder = π * (radius)² * height .

so,

• Depth = height = 5 * 100 = 500 cm.
• Radius = 2 * 100 = 200 cm.

then,

→ Volume = 3.14 * (200)² * 500

→ Volume = 3.14 * 40000 * 500

→ Volume = 62800000 cm³ = (62800000/1000000) = 62.8 m³ . (Ans.)

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