Question

Hello,

I ONLY need help with practice problem #2!!

-P1-1. One is interested in calculating the body volume of a snake, say, while resting straight. The snake has a body length of Lbody = 1.5m and a body radius of 7cm.
A) Which simplest shape would you choose from the list shown in the Notes or Textbook to calculate its volume and body surface area? A square? A pyramid? A sphere? What else? (Here you want to think about the shape that would best approximate the snake’s shape).

B) What would be the value of the volume that you chose? C) What about its surface area?

-P1-2. Consider the snake model of P1-1. Suppose that you found another snake of twice the body length (or 2x) and 1.4 times the radius (or 1.4x).

A) By how much would its volume have increased? By 1.4, relative to the P1-1 snake? By 2? 2.8? or 3.92?

B)By how much would its body surface are have increased?

Thank you.

Answer 1

P1-1

A) The best approximation for snake's body will be a cylinder.

B) We know, Volume of cylinder = pi * radius^2 * length

C)

P1-2

A)

Now,

Also,

Taking ratio of Volume 1 and Volume 2, where Volume 1 : Volume of Snake 1, while Volume 2 : Volume of Snake 2

Hence, Volume has increased by 3.92

B)

Taking ratio of Surface Areas:

Putting values of r1 and l1:

Hence, Surface Area has increased by 2.76

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