https://file.aiquickdraw.com/mathbot/file/1723718211203k8s3m2ed.jpg

answer to 1 dp find the sa of the cylinders

Let's solve the surface area (SA) for the given cylinders one by one.

### Problem 12:
**Given:**  
- Diameter = 70 mm (which means radius \( r = \frac{70}{2} = 35 \) mm)
- Height \( h = 85 \) mm

**Surface Area Formula for a Cylinder:**
\[
\text{SA} = 2\pi r (r + h)
\]
**Calculation:**
\[
\text{SA} = 2 \times \pi \times 35 \times (35 + 85) \text{ mm}^2
\]
\[
\text{SA} = 2 \times 3.1416 \times 35 \times 120 \text{ mm}^2
\]
\[
\text{SA} = 26378.08 \text{ mm}^2
\]
To 1 decimal place:
\[
\text{SA} \approx 26378.1 \text{ mm}^2
\]

---

### Problem 13:
**Given:**  
- Diameter = 9 cm (radius \( r = \frac{9}{2} = 4.5 \) cm)
- Height \( h = 31 \) cm

**Calculation:**
\[
\text{SA} = 2 \times \pi \times 4.5 \times (4.5 + 31) \text{ cm}^2
\]
\[
\text{SA} = 2 \times 3.1416 \times 4.5 \times 35.5 \text{ cm}^2
\]
\[
\text{SA} \approx 1004.8 \text{ cm}^2
\]
To 1 decimal place:
\[
\text{SA} \approx 1004.8 \text{ cm}^2
\]

---

### Problem 14:
**Given:**  
- Diameter = 1.8 m (radius \( r = \frac{1.8}{2} = 0.9 \) m)
- Height \( h = 2.5 \) m

**Calculation:**
\[
\text{SA} = 2 \times \pi \times 0.9 \times (0.9 + 2.5) \text{ m}^2
\]
\[
\text{SA} = 2 \times 3.1416 \times 0.9 \times 3.4 \text{ m}^2
\]
\[
\text{SA} \approx 19.2384 \text{ m}^2
\]
To 1 decimal place:
\[
\text{SA} \approx 19.2 \text{ m}^2
\]

---

### Problem 15:
**Given:**  
- Diameter = 3.8 m (radius \( r = \frac{3.8}{2} = 1.9 \) m)
- Height \( h = 2.6 \) m

**Calculation:**
\[
\text{SA} = 2 \times \pi \times 1.9 \times (1.9 + 2.6) \text{ m}^2
\]
\[
\text{SA} = 2 \times 3.1416 \times 1.9 \times 4.5 \text{ m}^2
\]
\[
\text{SA} \approx 53.7648 \text{ m}^2
\]
To 1 decimal place:
\[
\text{SA} \approx 53.8 \text{ m}^2
\]

---

### Problem 16:
**Given:**  
- Diameter = 13 cm (radius \( r = \frac{13}{2} = 6.5 \) cm)
- Height \( h = 84 \) cm

**Calculation:**
\[
\text{SA} = 2 \times \pi \times 6.5 \times (6.5 + 84) \text{ cm}^2

Explore detailed solutions to calculate the surface area of cylinders with varying dimensions. Includes step-by-step calculations for cylinders with diameters ranging from 70 mm to 3.8 m and heights from 2.5 m to 85 mm.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation