Question

ANSWER FOR BRAINILEST.

To the nearest whole number, what is the approximate volume of the shaded part of this figure?

Use 3.14 for Pi.

Answer 1

2712.96cm³

Explanation:

The Cylinder without whole Volume:

V = r²pi*h = (16/2)² * 3.14 * 18 = 3617.28cm³

The hole:

V=4/3 pi r³=4/3 * 3.14 * (12/2)³ = 904.32cm³

The block minus the whole

200.96cm³-904.32cm³=2712.96cm³

Answer 2

2713

Explanation:

The volume of a cylinder is base * height. That means the whole cylinder's volume is 8^2 * 18 * pi = 1152 pi

The volume of a sphere is (4/3)(pi)(r^3) = (4/3)(pi)(6^3) = 288 pi

Cylinder - Sphere = Shaded Volume

1152pi - 288pi = 864pi

Substitute 3.14 for pi, and you get

864(3.14) = 2712.96, which rounds to 2713