What's the lateral area of a right cylinder if the radius of the base is 12mm and the altitude of the cylinder is 5 times the base radius? Round your answer to the nearest whole number.        A. 905mm2   B. 2715mm2   C. 4524mm2   D. 3167mm2

Respuesta :

c) 4524mm^2
because the lateral area is 2* pi* radius * height, so 2* pi* 12* 60 (12*5) = 4523.893

Answer:

The correct option is C.

Step-by-step explanation:

The formula to find the lateral area of a right cylinder is

[tex]A=2\pi rh[/tex]

Where, r is the radius of base and h is altitude of the cylinder.

It is given that radius of the base is 12mm and the altitude of the cylinder is 5 times the base radius.

[tex]r=12mm[/tex]

[tex]h=5r=5\times 12=60mm[/tex]

The lateral area of a right cylinder is

[tex]A=2\pi \times 12\times 60=4523.89\approx 4524mm^2[/tex]

Therefore option C is correct.