Respuesta :
We have been an artist is creating a sculpture where a globe with a diameter of 48 inches sits in a cone like a scoop of ice cream. She wants the cone of her sculpture to be geometrically similar to an actual ice cream cone that has a diameter of 2 1/2 inches and a height of 6 inches.
We will use proportions to solve our given problem.
[tex]2\frac{1}{2}=2.5[/tex]
[tex]\frac{\text{Height of sculpture}}{\text{Diameter of sculpture}}=\frac{\text{Height of cone}}{\text{Diameter of cone}}[/tex]
[tex]\frac{\text{Height of sculpture}}{48}=\frac{6}{2.5}[/tex]
[tex]\frac{\text{Height of sculpture}}{48}\cdot 48=\frac{6}{2.5}\cdot 48[/tex]
[tex]\text{Height of sculpture}=6\cdot 19.2[/tex]
[tex]\text{Height of sculpture}=115.2[/tex]
Therefore, the height of the sculpture should be 115.2 inches.
Answer:
115 1/5
Step-by-step explanation:
This is 100% the answer because I took a test with this question and that was the correct answer
Please mark as brainliest :)~
