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.
1 answer
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.
How much plastic is needed to make each crayon?
Use π=3.14 and round your answer to the nearest millimeter.
Answers
Answer:30295[tex]mm^3[/tex]Step-by-step explanation:V of pencil = V of cone + V of cylinderlet's find V of cone first (you can do cylinder first but I'm getting the hard stuff out first)V cone = [tex]\frac{1}{3} \pi r^{2} h[/tex] now plug known values in [tex]\frac{1}{3}(36)(9)(3.14) =339.12 \\[/tex] [tex]mm^{3}[/tex]now cylinderV cyl. = [tex]\pi r^{2} h[/tex] plugging known values= [tex](3.14)(6^2)(64) = (3.14)(36)(64)[/tex] = 7234.56 [tex]mm^3[/tex]add the two values together to find the volume of the crayon339.12 + 7234.56= 7573. 68[tex]mm^3[/tex]rounding to nearest millimeter: 7574[tex]mm^3[/tex]
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