Volume of cylinder= 22/7×14×14×10
=6160

Curved surface area=2×22/7×14×14×10
=880

To find the volume and curved surface area of a cylinder with a radius of 14 cm and a height of 10 cm, we will use the following formulas:

Volume of a Cylinder
The formula for the volume \( V \) of a cylinder is given by:
\[ V = \pi r^2 h \]
Where:
- \( r \) = radius of the cylinder
- \( h \) = height of the cylinder
- \( \pi \) is approximately \( 3.14 \)
Substituting the values:
- \( r = 14 \, \text{cm} \)
- \( h = 10 \, \text{cm} \)
The calculation becomes:
\[ V = \pi \times (14)^2 \times 10 \]
\[ V = 3.14 \times 196 \times 10 \]
\[ V = 3.14 \times 1960 \]
\[ V \approx 6154.4 \, \text{cm}^3 \]
Thus, the **Volume** of the cylinder is approximately **6154.4 cm³**.

Curved Surface Area of a Cylinder
The formula for the curved surface area \( A \) of a cylinder is:
\[ A = 2\pi rh \]
Where:
- \( r \) = radius
- \( h \) = height
Substituting the values:
- \( r = 14 \, \text{cm} \)
- \( h = 10 \, \text{cm} \)
The calculation becomes:
\[ A = 2 \times \pi \times 14 \times 10 \]
\[ A = 2 \times 3.14 \times 14 \times 10 \]
\[ A = 2 \times 3.14 \times 140 \]
\[ A \approx 876.8 \, \text{cm}^2 \]
Thus, the **Curved Surface Area** of the cylinder is approximately **876.8 cm²**.
In summary:
- Volume: 6154.4 cm³
- Curved Surface Area: 876.8 cm²