A conical vessel has radius 4 cm, and its curved surface area is 20π

1.	A conical vessel has radius 4 cm, and its curved surface area is 20π cm2. Find the volume of conical vessel?1. 16π cm32. 14π cm33. 26π cm34. 64π/3 cm3
Answer» Correct Answer - Option 1 : 16π cm³ Given: Radius = 4 cm CSA = 20π cm² Formula used: CSA of cone = π × r × l where, l → slant height Volume of cone = 1/3 × πr²h Calculation: CSA = 20π cm² ⇒ π × r × l = 20π ⇒ 4 × l = 20 ⇒ l = 5 cm So, h = 3 cm [Using pythagorian triplet] Volume = 1/3 × πr2h ⇒ Volume = 1/3 × π × 4 × 4 × 3 ⇒ Volume = 16π cm³ ∴ Volume of cone is 16π cm³.

A conical vessel has radius 4 cm, and its curved surface area is 20π cm2. Find the volume of conical vessel?1. 16π cm32. 14π cm33. 26π cm34. 64π/3 cm3

Answer» Correct Answer - Option 1 : 16π cm³

Given:

Radius = 4 cm

CSA = 20π cm²

Formula used:

CSA of cone = π × r × l where, l → slant height

Volume of cone = 1/3 × πr²h

Calculation:

CSA = 20π cm²

⇒ π × r × l = 20π

⇒ 4 × l = 20

⇒ l = 5 cm

So, h = 3 cm [Using pythagorian triplet]

Volume = 1/3 × πr2h

⇒ Volume = 1/3 × π × 4 × 4 × 3

⇒ Volume = 16π cm³

∴ Volume of cone is 16π cm³.

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A conical vessel has radius 4 cm, and its curved surface area is 20π cm2. Find the volume of conical vessel?1. 16π cm32. 14π cm33. 26π cm34. 64π/3 cm3

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