7 Find the area of the curved surface for the following cones. Answer correct to the nearest whole number. a Cone with a radius of 9 cm and a slant height of 14 cm b Cone with a radius of 7.4 cm and a slant height of 11.5 cm

Question

UpStudy AI · Accepted Answer

**Step 1: Identify the formula**  
The curved (lateral) surface area $$ A $$ of a cone is given by:  
$$
A = \pi \, r \, l
$$  
where $$ r $$ is the radius and $$ l $$ is the slant height.

---

**Step 2: Solve for Part (a)**  
For the cone with a radius of $$ 9 $$ cm and a slant height of $$ 14 $$ cm, substitute into the formula:  
$$
A = \pi \times 9 \times 14 = 126\pi
$$  
To obtain a numerical value, take:  
$$
126\pi \approx 126 \times 3.1416 \approx 395.84
$$  
Rounded to the nearest whole number:  
$$
A \approx 396 \text{ cm}^2
$$

---

**Step 3: Solve for Part (b)**  
For the cone with a radius of $$ 7.4 $$ cm and a slant height of $$ 11.5 $$ cm, substitute into the formula:  
$$
A = \pi \times 7.4 \times 11.5
$$  
First, calculate the product of $$ 7.4 $$ and $$ 11.5 $$:  
$$
7.4 \times 11.5 = 85.1
$$  
Thus,  
$$
A = 85.1\pi
$$  
To obtain a numerical value, take:  
$$
85.1\pi \approx 85.1 \times 3.1416 \approx 267.35
$$  
Rounded to the nearest whole number:  
$$
A \approx 267 \text{ cm}^2
$$

---

**Final Answers**  
a) The curved surface area is approximately $$ 396 \text{ cm}^2 $$.  
b) The curved surface area is approximately $$ 267 \text{ cm}^2 $$.
The curved surface area for the cones is: a) 396 cm² b) 267 cm²

7 Find the area of the curved surface for the following cones. Answer correct to the nearest whole number. a Cone with a radius of 9 cm and a slant height of 14 cm b Cone with a radius of 7.4 cm and a slant height of 11.5 cm

Solución de inteligencia artificial de Upstudy

Responder

Solución

Beyond the Answer

preguntas relacionadas

Latest Geometry Questions