Question

select the correct answer from each drop - down menu. a full - grown monarch caterpillar weighs 0.75 grams, has a length of 5 centimeters, and is about 2.5 centimeters around. how can the surface area of the caterpillar be estimated? a dropdown can be used to model the surface area of the caterpillar. based on the model, the caterpillar has an approximate surface area of dropdown square centimeters.

Explanation:

Step1: Approximate shape

We can approximate the caterpillar as a cylinder. The formula for the lateral - surface area of a cylinder is $A = 2\pi rh$, where the circumference $C = 2\pi r$ and we know $C=2.5$ cm, so $r=\frac{C}{2\pi}=\frac{2.5}{2\pi}$ cm, and the length (height) $h = 5$ cm.

Step2: Calculate surface area

First, find $r=\frac{2.5}{2\pi}\text{ cm}$. Then, the lateral - surface area $A=Ch$ (since $A = 2\pi rh$ and $C = 2\pi r$). Substitute $C = 2.5$ cm and $h = 5$ cm into the formula. So $A=2.5\times5=12.5$ square centimeters.

Answer:

A cylinder; 12.5