Question

HELP VOLUMES

Answer 1

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

Answer 2

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