The ratio of the radius of base and height of a right circular cylinder is 3:5.Its lateral surface area is 4620 cm². the volume of cylinder,in cm³, is
Answers
Let the Radius and Height of the circular cylinder be 3x and 5x respectively.
- Lateral surface area of the circular cylinder is 4620 cm²
→ Lateral Surface Area of Cylinder = 2πrh
→ 4620 = 2 × 22/7 × 3x × 5x
→ 4620 × 7 = 44 × 15x²
→32340/44 × 15 = x²
→ 49 = x²
→ x = √49
→ x = 7
- Radius = 3 × 7 = 21 cm
- Height = 5 × 7 = 35 cm
Now, Using Radius and Height of the Circular cylinder, we can find the volume of the circular cylinder.
→ Volume of Cylinder = πr²h
→ 22/7 × 21 × 21 × 35
→ 22 × 3 × 21 × 35
→ 48510 cm³
Hence,
The Volume of the circular cylinder is 48510 cm³.
Let the Radius and Height of the circular cylinder be 3x and 5x respectively.
Lateral surface area of the circular cylinder is 4620 cm²
→ Lateral Surface Area of Cylinder = 2πrh
→ 4620 = 2 × 22/7 × 3x × 5x
→ 4620 × 7 = 44 × 15x²
→32340/44 × 15 = x²
→ 49 = x²
→ x = √49
→ x = 7
- Radius = 3 × 7 = 21 cm
- Height = 5 × 7 = 35 cm
Now, Using Radius and Height of the Circular cylinder, we can find the volume of the circular cylinder.
→ Volume of Cylinder = πr²h
→ 22/7 × 21 × 21 × 35
→ 22 × 3 × 21 × 35
→ 48510 cm³
Hence,
The Volume of the circular cylinder is 48510 cm³.