Question

a reservoir in the shape of a right circular cylinder is to contain 79200 L of water is the radius of the cylinder is 3 m find its height (answer should com 18) pls don't spam​

Answer 1

Answer

Height = 280 cm or 2.8 m

Step-by-step explanation

Volume of Cylinder = πr²h

⇒ 79200 L = π × r² × h

⇒ 79200 L = 22/7 × r² × h

⇒ 79200 L = 22/7 × (3 m)² × h

⇒ 79200 L = 22/7 × 9 m² × h

⇒ 79200 × 1000 cm³ = 22/7 × 9 m² × h

⇒ 79200000 cm³ = 22/7 × 9 m² × h

⇒ 79200000 cm³ = 198/7 m² × h

⇒ 79200000 cm³ = 28.285 m² × h

⇒ 79200000 cm³ = 28.285 (m × m) × h

⇒ 79200000 cm³ = 28.285 (100 cm × 100 cm) × h

⇒ 79200000 cm³ = 28.285 × 10000 cm² × h

⇒ (79200000 cm³)/10000 cm² = (28.285 × 10000 cm² × h)/10000 cm²

⇒ 7920 cm = 28.285 × h

⇒ 7920 cm/28.285 = (28.285 × h)/28.285

⇒ h = 7920 cm/28.285

⇒ h = 280 cm or 2.8 m

∴ Height = 280 cm or 2.8 m

Answer 2

Given :

A reservoir in the shape of a right circular cylinder is to contain 79200 L of water is the radius of the cylinder is 3 m.

To find :

• Height of the right circular cylinder.

Solution :

• Capacity of reservoir = 79200 L
• Radius of reservoir = 3 m

→ Volume of reservoir

• Focus Zone
• 1 liter = 1/1000 m³

→ 79200/1000

→ 72.9 m³

According to the formula of volume of cylinder

→ πr²h = 72.9

→ 22/7 × 3 × 3 × h = 72.9

→ 22 × 9/7 × h = 72.9

→ 198/7 × h = 72.9

→ 198h = 72.9 × 7

→ h = 72.9 × 7/198

→ h = 2.57m

•°• Height of the cylinder is 2.57 m

______________________________