Volume of Cylinders and Cones worksheet with nine problems requiring calculation of volumes for various cylinders and cones.

Here are the step-by-step solutions for each problem on the worksheet.

Formulas to remember:
* Volume of a Cylinder: $V = \pi \times r^2 \times h$
* Volume of a Cone: $V = \frac{1}{3} \times \pi \times r^2 \times h$
*(We will use $\pi \approx 3.14159$)*

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1) Cylinder
* Radius ($r$) = 7 yd
* Height ($h$) = 10 yd
* Calculation: $V = \pi \times 7^2 \times 10$
* $V = \pi \times 49 \times 10$
* $V = 490\pi \approx 1539.38$

2) Cone
* Radius ($r$) = 6 cm
* Height ($h$) = 14 cm
* Calculation: $V = \frac{1}{3} \times \pi \times 6^2 \times 14$
* $V = \frac{1}{3} \times \pi \times 36 \times 14$
* $V = 12\pi \times 14$
* $V = 168\pi \approx 527.79$

3) Cone
* Radius ($r$) = 4 in
* Height ($h$) = 11 in
* Calculation: $V = \frac{1}{3} \times \pi \times 4^2 \times 11$
* $V = \frac{1}{3} \times \pi \times 16 \times 11$
* $V = \frac{176\pi}{3} \approx 184.31$

4) Cylinder
* Radius ($r$) = 8 yd
* Height ($h$) = 12 yd
* Calculation: $V = \pi \times 8^2 \times 12$
* $V = \pi \times 64 \times 12$
* $V = 768\pi \approx 2412.74$

5) Cylinder
* Radius ($r$) = 3 mm
* Height ($h$) = 4 mm
* Calculation: $V = \pi \times 3^2 \times 4$
* $V = \pi \times 9 \times 4$
* $V = 36\pi \approx 113.10$

6) Cylinder
* Radius ($r$) = 4 in
* Height ($h$) = 6 in
* Calculation: $V = \pi \times 4^2 \times 6$
* $V = \pi \times 16 \times 6$
* $V = 96\pi \approx 301.59$

7) Cone
* Radius ($r$) = 3 ft
* Height ($h$) = 10 ft
* Calculation: $V = \frac{1}{3} \times \pi \times 3^2 \times 10$
* $V = \frac{1}{3} \times \pi \times 9 \times 10$
* $V = 3\pi \times 10$
* $V = 30\pi \approx 94.25$

8) Cone
* Radius ($r$) = 6 ft
* Height ($h$) = 14 ft
* Calculation: $V = \frac{1}{3} \times \pi \times 6^2 \times 14$
* $V = \frac{1}{3} \times \pi \times 36 \times 14$
* $V = 12\pi \times 14$
* $V = 168\pi \approx 527.79$

9) Cylinder
* Radius ($r$) = 3 cm
* Height ($h$) = 4 cm
* Calculation: $V = \pi \times 3^2 \times 4$
* $V = \pi \times 9 \times 4$
* $V = 36\pi \approx 113.10$

Final Answer:
1) 1539.38 yd³
2) 527.79 cm³
3) 184.31 in³
4) 2412.74 yd³
5) 113.10 mm³
6) 301.59 in³
7) 94.25 ft³
8) 527.79 ft³
9) 113.10 cm³