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Sagot :
V = pi * r^2 * h
Plug in what we know:
1470 = 3.14 * 6^2 * h
Find the height:
Simplify exponent:
1470 = 3.14 * 36 * h
Multiply:
1470 = 113.04h
Divide 113.04 to both sides:
h = 13
The height of the cone is half the height of the cylinder.
Cylinder height = 13
Cone height = 13 / 2 = 6.5
Radius of the cone should be the same as the cylinder.
V = 1/3 * pi * r^2 * h
V = 1/3 * 3.14 * 6^2 * 6.5
Simplify exponent:
V = 1/3 * 3.14 * 36 * 6.5
Multiply:
V = 244.92
Add the two volumes:
1470 + 244.92 = 1714.92
Plug in what we know:
1470 = 3.14 * 6^2 * h
Find the height:
Simplify exponent:
1470 = 3.14 * 36 * h
Multiply:
1470 = 113.04h
Divide 113.04 to both sides:
h = 13
The height of the cone is half the height of the cylinder.
Cylinder height = 13
Cone height = 13 / 2 = 6.5
Radius of the cone should be the same as the cylinder.
V = 1/3 * pi * r^2 * h
V = 1/3 * 3.14 * 6^2 * 6.5
Simplify exponent:
V = 1/3 * 3.14 * 36 * 6.5
Multiply:
V = 244.92
Add the two volumes:
1470 + 244.92 = 1714.92
V = πr²h
1,470 = (3.14)(6)²h
1,470 = (3.14)(36)h
1,470 = 113.04h
113.04 113.04
13.00425 ≈ h
1,470 = (3.14)(6)²h
1,470 = (3.14)(36)h
1,470 = 113.04h
113.04 113.04
13.00425 ≈ h
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