## 2 points 65. The radius and height of a cylinder are in the ratio 3:2 and its volume is 19,404 cm” then its radius is

Question

2 points
65. The radius and height of a
cylinder are in the ratio 3:2 and
its volume is 19,404 cm” then
O a)7cm​

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4 weeks 2021-08-15T08:30:02+00:00 2 Answers 0 views 0

Let the radius be 3x and height be 2x.

### ________________________             ## _______________________     2. ### Given :-

• The radius and height of a cylinder are in the ratio 3:2 and its volume is 19,404 cm³

### Solution :-

• Radius and height of cylinder in ratio = 3 : 2
• Volume of cylinder = 19404cm³

Let the radius be 3x and height be 2x

As we know that

→ Volume of cylinder = πr²h

Where ” r ” is radius, ” h ” is height of a cylinder

According to question

→ Volume of cylinder = 19404

→ πr²h = 19404

→ 22/7 × (3x)² × 2x = 19404

→ 22/7 × 9x² × 2x = 19404

→ 22/7 × 18x³ = 19404

→ 22 × 18x³ = 19404 × 7

→ 396x³ = 135828

→ x³ = 135828/396

→ x³ = 343

→ x = ∛343

→ x = 7

Hence,

• Radius of cylinder= 3x = 21cm