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Sagot :
So,
All we have to do is subtract the smaller cone's volume from the larger cone's volume.
First, we will use the formula for the volume of a cone to find the volume of the larger cone.
[tex]V_{1} = \frac{1}{3}\pi r^2h[/tex]
Substitute.
[tex]V_{1} = \frac{1}{3}(3.14)(6)^2(18)[/tex]
Simplify exponents.
[tex]V_{1} = \frac{1}{3}(3.14)(36)(18)[/tex]
Multiply. We will do the fraction last.
[tex]V_{1} = \frac{1}{3}(113.04)(18)[/tex]
[tex]V_{1} = \frac{1}{3}(2034.72)[/tex]
[tex]V_{1} = 678.24\ cm^3[/tex]
Now, use the same formula and procedure to find the volume of the smaller cone.
[tex]V_{2} = \frac{1}{3}\pi r^2h[/tex]
[tex]V_{2} = \frac{1}{3}(3.14)(6)^2(6)[/tex]
Exponents first, and then multiplication, leaving the fraction last.
[tex]V_{2} = \frac{1}{3}(3.14)(36)(6)[/tex]
[tex]V_{2} = \frac{1}{3}(113.04)(6)[/tex]
[tex]V_{2} = \frac{1}{3}(678.24)[/tex]
[tex]V_{2} = 226.08\ cm^3[/tex]
Now, use this formula to find the answer:
[tex]V_{2} - V_{1} = Ans[/tex]
And substitute the now known values.
[tex]678.24 - 226.08 = Ans[/tex]
[tex]452.16\ cm^3 = Ans[/tex]
Remi must put 452.16 cubic centimeters of water into the larger container.
All we have to do is subtract the smaller cone's volume from the larger cone's volume.
First, we will use the formula for the volume of a cone to find the volume of the larger cone.
[tex]V_{1} = \frac{1}{3}\pi r^2h[/tex]
Substitute.
[tex]V_{1} = \frac{1}{3}(3.14)(6)^2(18)[/tex]
Simplify exponents.
[tex]V_{1} = \frac{1}{3}(3.14)(36)(18)[/tex]
Multiply. We will do the fraction last.
[tex]V_{1} = \frac{1}{3}(113.04)(18)[/tex]
[tex]V_{1} = \frac{1}{3}(2034.72)[/tex]
[tex]V_{1} = 678.24\ cm^3[/tex]
Now, use the same formula and procedure to find the volume of the smaller cone.
[tex]V_{2} = \frac{1}{3}\pi r^2h[/tex]
[tex]V_{2} = \frac{1}{3}(3.14)(6)^2(6)[/tex]
Exponents first, and then multiplication, leaving the fraction last.
[tex]V_{2} = \frac{1}{3}(3.14)(36)(6)[/tex]
[tex]V_{2} = \frac{1}{3}(113.04)(6)[/tex]
[tex]V_{2} = \frac{1}{3}(678.24)[/tex]
[tex]V_{2} = 226.08\ cm^3[/tex]
Now, use this formula to find the answer:
[tex]V_{2} - V_{1} = Ans[/tex]
And substitute the now known values.
[tex]678.24 - 226.08 = Ans[/tex]
[tex]452.16\ cm^3 = Ans[/tex]
Remi must put 452.16 cubic centimeters of water into the larger container.
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