I'll solve this problem by calculating the volume of each sphere using the formula provided: V = 4/3 × π × r³, where π = 3.14 and r is the radius of each sphere.
Let me calculate the volume for each sphere:
1. Radius = 2 m
V = 4/3 × 3.14 × 2³
V = 4/3 × 3.14 × 8
V = 4/3 × 25.12
V = 33.49 m³ (rounded to nearest tenth)
2. Radius = 5 cm
V = 4/3 × 3.14 × 5³
V = 4/3 × 3.14 × 125
V = 4/3 × 392.5
V = 523.3 cm³ (rounded to nearest tenth)
3. Radius = 10 mm
V = 4/3 × 3.14 × 10³
V = 4/3 × 3.14 × 1000
V = 4/3 × 3140
V = 4186.7 mm³ (rounded to nearest tenth)
4. Radius = 3 mm
V = 4/3 × 3.14 × 3³
V = 4/3 × 3.14 × 27
V = 4/3 × 84.78
V = 113.0 mm³ (rounded to nearest tenth)
5. Radius = 8 m
V = 4/3 × 3.14 × 8³
V = 4/3 × 3.14 × 512
V = 4/3 × 1607.68
V = 2143.6 m³ (rounded to nearest tenth)
6. Radius = 7 cm
V = 4/3 × 3.14 × 7³
V = 4/3 × 3.14 × 343
V = 4/3 × 1077.02
V = 1436.0 cm³ (rounded to nearest tenth)
The volumes of the spheres are:
1. 33.5 m³
2. 523.3 cm³
3. 4186.7 mm³
4. 113.0 mm³
5. 2143.6 m³
6. 1436.0 cm³
Parent Tip: Review the logic above to help your child master the concept of volume of spheres worksheet.
