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100 POINTS AND BRAINLIEST! FULLY CORRECT AND EXPLANITORY ANSWERS ONLY!


You have been hired as a consultant by Mr. Robbins of the large Ice Cream company Dachshund Robbins. As part of assisting them with determining things like the number of cones that can be made per container of ice cream, they’ve asked you to determine the amount of ice cream in a properly filled cone.

Please note Mr. Robbins is very insistent that all cones be properly filled according to the sketch above, and that he’s running an honest business.

PART A: What shapes is the cone composed of that we can find the volume of?


PART B: What is the volume of those shapes?


PART C: Find the volume of the composite shape for Mr. Robbins, and make sure to show your work.

THERE ARE 3 PARTS! ANSWER ALL CORRECTLY AND EXPLANITORY FOR 100 POINTS AND BRAINLIEST! Thank you!!

Sagot :

semsee45

Answer:

2714.34 in³ (nearest hundredth)

Step-by-step explanation:

A) Cone and hemisphere

B) volume of a cone = [tex]\dfrac13\pi r^2h[/tex]

volume of a hemisphere = [tex]\dfrac23\pi r^3[/tex]

(where r is the radius and h is the height)

C)

[tex]\implies \textsf{volume of cone}=\dfrac13\pi \times 9^2\times 14=378 \pi[/tex]

[tex]\implies \textsf{volume of hemisphere}=\dfrac23\pi \times 9^3=486 \pi[/tex]

[tex]\implies \textsf{total volume}=378 \pi+486 \pi=864\pi =2714.34 \textsf{ in}^3 \textsf{ (nearest hundredth)}[/tex]

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