2. A cylmader is of height 3 cm and radius 2 cm find it curce surtace area

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UpStudy AI · Accepted Answer

To find the **curved surface area** (also known as the **lateral surface area**) of a cylinder, you can use the following formula:

$$
\text{Curved Surface Area} = 2 \pi r h
$$

Where:
- $$ r $$ = radius of the cylinder
- $$ h $$ = height of the cylinder
- $$ \pi $$ ≈ 3.1416

**Given:**
- Radius ($$ r $$) = 2 cm
- Height ($$ h $$) = 3 cm

**Plugging in the values:**

$$
\text{Curved Surface Area} = 2 \times \pi \times 2 \, \text{cm} \times 3 \, \text{cm}
$$
$$
\text{Curved Surface Area} = 12 \pi \, \text{cm}²
$$

**If you use the approximate value of $$ \pi $$:**

$$
\text{Curved Surface Area} \approx 12 \times 3.1416 = 37.6992 \, \text{cm}²
$$

**Rounded to two decimal places:**

$$
\text{Curved Surface Area} \approx 37.70 \, \text{cm}²
$$

**Therefore:**
- **Exact Curved Surface Area:** $$ 12\pi \, \text{cm}² $$
- **Approximate Curved Surface Area:** $$ 37.70 \, \text{cm}² $$
The curved surface area of the cylinder is $$ 12\pi $$ cm², which is approximately 37.70 cm².

A cylmader is of
height 3 cm and
radius 2 cm find
it curce surtace
area

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