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Sagot :
Answer:
12 inches high
Step-by-step explanation:
- Volume of a cylinder = [tex]\pi[/tex]r²h
(where r = radius and h = height) - Radius r = 1/2 diameter
First, find the volume of the original can of soup by using the volume of a cylinder formula and r = 2:
Volume of original can of soup = [tex]\pi[/tex] x 2² x 8 = 32[tex]\pi[/tex]
If the new soup can needs to hold 1.5 times as much soup as the original can, multiply the volume of the original can by 1.5:
volume of new can = 32[tex]\pi[/tex] x 1.5 = 48[tex]\pi[/tex]
If the diameter of the new can is the same as the diameter of the original can, then r = 2.
Use the volume of a cylinder formula, set the volume to 48[tex]\pi[/tex] and use r = 2. Solve for h:
48[tex]\pi[/tex] = [tex]\pi[/tex]2²h
Divide both sides by [tex]\pi[/tex]: 48 = 4h
Divide both sides by 4: 12 = h
Therefore the height of the new can will be 12 in
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