Question

The cylinder canas have base of the same size . the diameter of each is 14cm oneof the cans is 10cm high and the other is 20 cm hight find the ratio there volume ​

Answer 1

Given:

• Two cylindrical cans have bases of the same size.
• Diameter = 14 cm
• One of the cans is 10 cm and other is 20 cm

To Find:

• Ratio of there volume.

Solution:

The diameter of each = 14 cm

★ Radius = Diameter/2

→ 14/2

→ 7 cm

Hence,

• Radius is 7 cm.

★ Volume of first cylinder = πr²h

Where,

• r = 7
• h = 10

→ π × 7² × 10

→ π × 7 × 7 × 10

→ π × 49 × 10

→ 490 π cm³

• Therefore, volume of first cylinder is 490π cm³.

★ Volume of second cylinder = πr²H

Where,

• r = 7
• H = 20

→ π × 7² × 20

→ π × 7 × 7 × 20

→ π × 49 × 20

→ π × 980

→ 980π cm³

• Therefore, volume of second cylinder is 980 π cm³.

★ Ratio = Volume of first cylinder/ Volume of second cylinder

→ 980π / 49π

→ 490π / 980π

→ 1/2

→ 1 : 2

Hence,

• The ratio of there volume is 1 : 2.