Question

The altitude of a right circular cylinder is twice the radius of the
base. What is the ratio of the lateral area to the total area of the
cylinder?

Answer 1

Let h be the height of cylinder.

Given that r= radius= 5 cm

Total surface area=165

Continuation is in attachment

Answer 2

Answer:

The ratio of the lateral area to the total area of the cylinder is 2 : 3

Step-by-step explanation:

Suppose the radius of the circular cylinder is 'r'.

The altitude of the cylinder(h) = 2 × radius of the cylinder = 2r

• Lateral area of the cylinder = 2πrh = 2πr × 2r = 4πr²
• Total area = (2 × area of base) + lateral area

         Area of base = area of circle with radius r = πr²

       Total area of the cylinder = (2 × πr²) + 4πr² = 6πr²

• Ratio calculation: Lateral area = 4πr² and total area =  6πr².  

                                        $\frac{Lateral area}{total area}$ = $\frac{4\pi r^2}{6\pi r^2}$ = $\frac{2}{3}$

              Lateral area : Total area = 2 : 3

For similar questions visit the links given below:

https://brainly.in/question/15912085

https://brainly.in/question/7546133