Question

a solid metallic cylinder of base radius 10.5 cm and height 7.8 cm is melted to form a cube of edge . find the number of cubes formed
​

Answer 1

Answer:

Since the cylinder is melted into a cube, only the dimensions change. Hence the volume melted is going to be equal to the volume of the cube.

Given that,

• Radius = 10.5 cm
• Height = 7.8 cm
• Edge = 2.2 cm (Missed in the question)

Calculating the volume of the cylinder we get:

→ Volume of the cylinder = πr²h

→ Volume of the cube = a³

⇒ Volume of the cylinder = (22/7) × (10.5)² × 7.8

⇒ Volume of the cylinder = ( 18918.9 ) / 7

⇒ Volume of the cylinder = 2702.7 cm³

Therefore the volume of the cylinder is 2702.7 cm³.

⇒ n × Volume of the cube = 2702.7 cm³

⇒ n × a³ = 2702.7 cm³

⇒ n × (2.2 cm)³ = 2702.7 cm³

⇒ n × 10.648 cm³ = 2702.7 cm³

⇒ n = ( 2702.7 / 10.648 )

⇒ n = 253.88 ≈ 254

Hence the number of cubes formed is approximately 254.

Answer 2

Answer:

Given :-

• Radius of cylinder = 10.5 cm
• Height of cylinder = 7.8 cm
• Edge = 2.2 cm

To Find :-

Number of cubes formed

Solution :-

As we know that

Volume of cylinder = πr²h

Volume = 3.14× 10.5² × 7.8

Volume = 3.14 × 10.5 × 10.5 × 7.8

Volume = 3.14 × 110.25 × 7.8

Volume = 346.1 × 7.8

Volume = 2702 cm³

Now,

Volume of cube = e³

Volume = 2.2³

Volume = 10.648 cm³

Now,

Total cubes = 2702.7/10.648

Total cubes = 253.88 ≈ 254

$\rule{333}{2}$