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3 years ago

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

Mathematics

1 answer:

anyanavicka [17]3 years ago

5 0

Answer:

3057.6 cm³

Step-by-step 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

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