SOLUTION: What is the maximum volume of a cone that would fit in the box with h=3cm, l=6cm, and w=3cm ?
Since h=3, so radius of a cone=3/2=1.5cm?
I've found the SAofbox= 2(wh+lw+lh)=90cm2
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-> SOLUTION: What is the maximum volume of a cone that would fit in the box with h=3cm, l=6cm, and w=3cm ?
Since h=3, so radius of a cone=3/2=1.5cm?
I've found the SAofbox= 2(wh+lw+lh)=90cm2
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Question 877208: What is the maximum volume of a cone that would fit in the box with h=3cm, l=6cm, and w=3cm ?
Since h=3, so radius of a cone=3/2=1.5cm?
I've found the SAofbox= 2(wh+lw+lh)=90cm2
I also found Volumeofbox=lwh=6x3x3=54cm3
Then I found slant hight of a cone s^2=a2+b2 s2=6^2+3^2 s=6.7cm
I also found SAofcone= prs+pr^2= 3.14x1.5x6.7+3.14x1.5^2=38.62cm2
Volumeofcone=pr^2h/3=100.42cm3 I got volume of a cone larger than volume of a box.Please, help. Thanks in advance. Answer by Alan3354(69443) (Show Source):
You can put this solution on YOUR website! What is the maximum volume of a cone that would fit in the box with h=3cm, l=6cm, and w=3cm ?
Since h=3, so radius of a cone=3/2=1.5cm?
I've found the SAofbox= 2(wh+lw+lh)=90cm2
I also found Volumeofbox=lwh=6x3x3=54cm3
Then I found slant hight of a cone s^2=a2+b2 s2=6^2+3^2 s=6.7cm
I also found SAofcone= prs+pr^2= 3.14x1.5x6.7+3.14x1.5^2=38.62cm2
Volumeofcone=pr^2h/3=100.42cm3 I got volume of a cone larger than volume of a box.Please, help. Thanks in advance.
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For the cone:
r = 1.5, h = 6
=~ 14.137 cc
