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Find the volume of the figure below. Round to the nearest tenth.

7 cm
7 cm
9 cm
20 cm
11 cm

Find the volume of the figure below. Round to the nearest tenth. 7 cm 7 cm 9 cm 20 cm-example-1
User Sarus
by
5.5k points

1 Answer

1 vote

Answer:

3057.6 cm³

Explanation:

You have a cylinder and a rectangular prism. Solve for the area of each separately.

Cylinder

The formula for volume of a cylinder is V = πr²h. The radius is 7, and the height is 7.

V = πr²h

V = π(7)²(7)

V = π(49)(7)

V = 343π

V = 1077.57 cm³

Rectangular Prism

The formula for volume of a rectangular prism is V = lwh. The length is 20, the width is 11, and the height is 9.

V = lwh

V = (20)(11)(9)

V = (220)(9)

V = 1980 cm³

Add the areas of the two shapes.

1077.57 cm³ + 1980 cm³ = 3057.57 cm³

Round to the nearest tenth.

3057.57 cm³ ≈ 3057.6 cm³

User Pikkvile
by
5.8k points