A 40 m deep well with radius 7 m is dug and the soil from digging is e

1.	A 40 m deep well with radius 7 m is dug and the soil from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform.1. 10 m2. 15 m3. 20 m4. 25 m
Answer» Correct Answer - Option 3 : 20 m Given: Depth of well = height = 40 m Radius of well = 7 m Length of platform = 22 m Breadth of platform = 14 m Formula Used: Volume of cylinder = πr2h Volume of cuboid = Length × Breadth × Height Calculation: Volume of cylinder = Volume of well ⇒ Volume of well = 22/7 × (7 m)²× (40 m) ⇒ Volume of well = (22 × 7 × 40) m² Volume of platform = Volume of cuboid Volume of platform = Volume of well ⇒ (22 × 7 × 40) m² = 22 m × 14 m × h ⇒ 20 m = h ∴ Height of the platform is 20 m The correct option is 3 i.e. 20 m

A 40 m deep well with radius 7 m is dug and the soil from digging is evenly spread out to form a platform 22 m by 14 m. Find the height of the platform.1. 10 m2. 15 m3. 20 m4. 25 m

Answer» Correct Answer - Option 3 : 20 m

Given:

Depth of well = height = 40 m

Radius of well = 7 m

Length of platform = 22 m

Breadth of platform = 14 m

Formula Used:

Volume of cylinder = πr2h

Volume of cuboid = Length × Breadth × Height

Calculation:

Volume of cylinder = Volume of well

⇒ Volume of well = 22/7 × (7 m)²× (40 m)

⇒ Volume of well = (22 × 7 × 40) m²

Volume of platform = Volume of cuboid

Volume of platform = Volume of well

⇒ (22 × 7 × 40) m² = 22 m × 14 m × h

⇒ 20 m = h

∴ Height of the platform is 20 m

The correct option is 3 i.e. 20 m

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