Shalini made a cylindrical kaleidoscope of radius 10.5 cm and height 60 cm. If the density of the material is 5g/cm^ 3 . Find its mass.
Answers
Given :
- Kaleidoscope is of cylinder in shape.
- Height of kaleidoscope = 60cm
- Radius of kaleidoscope = 10.5cm
- Density of material = 5g/cm³
To find :
Mass of kaleidoscope
Formula used :
- Volume of cylinder = πr²h
- Density = mass ÷ Volume
Solution :
First of all we need to find volume of kaleidoscope.
Volume of kaleidoscope = π (10.5 cm)² × (60cm)
Volume of kaleidoscope = π ( 110.25 cm²)×(60cm)
Volume of kaleidoscope = π × 6615 cm³
Volume of kaleidoscope = (22/7)× 6615 cm³
Volume of kaleidoscope = 22× 945 cm³
Volume of kaleidoscope = 20790 cm³
Now we know that ,
Density = mass ÷ volume
Therefore, mass = Density × volume
Mass = 5g/cm³ × 20790 cm³
Mass = 103950 g
Mass = 103.95 kg
ANSWER :
Mass = 103950 grams = 103.95 kg
Answer:
Volume of kaleidoscope = 11 (10.5 cm)2 x (60cm) Volume of kaleidoscope = 1 ( 110.25
cm?)x(60cm)
Volume of kaleidoscope = 1 * 6615 cm cm3
Volume of kaleidoscope = (22/7)x 6615
Volume of kaleidoscope = 22x 945 cm3
Volume of kaleidoscope = 20790 cm3 =
Now we know that,
Density = mass volume
Therefore, mass = Density x volume =
Mass = 5g/cm3 x 20790 cm3
Mass = 103950 g
Mass = 103.95 kg
Step-by-step explanation:
Mass = 103950 grams = 103.95 kg