Volume 2 - Free Printable

Here are the step-by-step solutions to find the volume for each figure.

Formulas used:
* Cone: $V = \frac{1}{3} \pi r^2 h$
* Sphere: $V = \frac{4}{3} \pi r^3$
* Cylinder: $V = \pi r^2 h$
*(We will use $\pi \approx 3.14$ for these calculations)*

1. Cone ($r = 21$ ft, $h = 35$ ft)
* Formula: $\frac{1}{3} \times 3.14 \times (21)^2 \times 35$
* Square radius: $21 \times 21 = 441$
* Multiply: $\frac{1}{3} \times 3.14 \times 441 \times 35$
* Simplify: $3.14 \times 147 \times 35$
* Result: $16,163.7$
* Volume = 16,163.7 ft³

2. Sphere ($r = 6$ in)
* Formula: $\frac{4}{3} \times 3.14 \times (6)^3$
* Cube radius: $6 \times 6 \times 6 = 216$
* Multiply: $\frac{4}{3} \times 3.14 \times 216$
* Simplify: $4 \times 3.14 \times 72$
* Result: $904.32$
* Volume = 904.32 in³

3. Cylinder ($r = 4$ cm, $h = 15$ cm)
* Formula: $3.14 \times (4)^2 \times 15$
* Square radius: $4 \times 4 = 16$
* Multiply: $3.14 \times 16 \times 15$
* Result: $753.6$
* Volume = 753.6 cm³

4. Cylinder ($r = 19$ m, $h = 9$ m)
* Formula: $3.14 \times (19)^2 \times 9$
* Square radius: $19 \times 19 = 361$
* Multiply: $3.14 \times 361 \times 9$
* Result: $10,205.46$
* Volume = 10,205.46 m³

5. Cone ($r = 24$ in, $h = 50$ in)
* Formula: $\frac{1}{3} \times 3.14 \times (24)^2 \times 50$
* Square radius: $24 \times 24 = 576$
* Multiply: $\frac{1}{3} \times 3.14 \times 576 \times 50$
* Simplify: $3.14 \times 192 \times 50$
* Result: $30,144$
* Volume = 30,144 in³

6. Sphere ($r = 3$ mm)
* Formula: $\frac{4}{3} \times 3.14 \times (3)^3$
* Cube radius: $3 \times 3 \times 3 = 27$
* Multiply: $\frac{4}{3} \times 3.14 \times 27$
* Simplify: $4 \times 3.14 \times 9$
* Result: $113.04$
* Volume = 113.04 mm³

7. Sphere ($d = 12$ cm)
* First, find radius: $12 \div 2 = 6$ cm
* Formula: $\frac{4}{3} \times 3.14 \times (6)^3$
* This is the same calculation as Problem #2.
* Volume = 904.32 cm³

8. Cylinder ($r = 8$ ft, $h = 6$ ft)
* Formula: $3.14 \times (8)^2 \times 6$
* Square radius: $8 \times 8 = 64$
* Multiply: $3.14 \times 64 \times 6$
* Result: $1,205.76$
* Volume = 1,205.76 ft³

9. Cone ($r = 3$ cm, $h = 6$ cm)
* Formula: $\frac{1}{3} \times 3.14 \times (3)^2 \times 6$
* Square radius: $3 \times 3 = 9$
* Multiply: $\frac{1}{3} \times 3.14 \times 9 \times 6$
* Simplify: $3.14 \times 3 \times 6$
* Result: $56.52$
* Volume = 56.52 cm³

10. Cone ($d = 30$ m, $h = 29$ m)
* First, find radius: $30 \div 2 = 15$ m
* Formula: $\frac{1}{3} \times 3.14 \times (15)^2 \times 29$
* Square radius: $15 \times 15 = 225$
* Multiply: $\frac{1}{3} \times 3.14 \times 225 \times 29$
* Simplify: $3.14 \times 75 \times 29$
* Result: $6,829.5$
* Volume = 6,829.5 m³

11. Cylinder ($d = 20$ cm, $h = 10$ cm)
* First, find radius: $20 \div 2 = 10$ cm
* Formula: $3.14 \times (10)^2 \times 10$
* Square radius: $10 \times 10 = 100$
* Multiply: $3.14 \times 100 \times 10$
* Result: $3,140$
* Volume = 3,140 cm³

12. Sphere ($d = 20$ cm)
* First, find radius: $20 \div 2 = 10$ cm
* Formula: $\frac{4}{3} \times 3.14 \times (10)^3$
* Cube radius: $10 \times 10 \times 10 = 1,000$
* Multiply: $\frac{4}{3} \times 3.14 \times 1,000$
* Simplify: $1.333... \times 3,140$
* Result: $4,186.67$ (rounded)
* Volume = 4,186.67 cm³

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Final Answer:
1. 16,163.7 ft³
2. 904.32 in³
3. 753.6 cm³
4. 10,205.46 m³
5. 30,144 in³
6. 113.04 mm³
7. 904.32 cm³
8. 1,205.76 ft³
9. 56.52 cm³
10. 6,829.5 m³
11. 3,140 cm³
12. 4,186.67 cm³