Question

A 3-D printer is used to produce plastic models of crayons, which will be used as part of a larger model. The dimensions of the crayons will be as shown.


How much plastic is needed to make each crayon?

Use π=3.14 and round your answer to the nearest millimeter.

Answer 1

Answer:

30295$mm^3$

Step-by-step explanation:

V of pencil = V of cone + V of cylinder

let's find V of cone first (you can do cylinder first but I'm getting the hard stuff out first)

V cone = $\frac{1}{3} \pi r^{2} h$

now plug known values in

$\frac{1}{3}(36)(9)(3.14) =339.12$ $mm^{3}$

now cylinder

V cyl. = $\pi r^{2} h$

plugging known values

= $(3.14)(6^2)(64) = (3.14)(36)(64)$  = 7234.56 $mm^3$

add the two values together to find the volume of the crayon

339.12 + 7234.56= 7573. 68$mm^3$

rounding to nearest millimeter: 7574$mm^3$