Volume of combination 3d figures

Multiple Select

Now let us start breaking down the problem.

What shapes to you see in the silo?

(Choose all that apply)

• Rectangular Prism

• Cylinder

• Triangular Prism

• Sphere

  (the whole sphere)

• Hemisphere

  (half - sphere)

Labelling

Lable the silo by its parts

Drag labels to their correct position on the image

Cylinder

Hemisphere (half - sphere)

Multiple Select

Chose every formula that will be used to find the volume of this shape.

• Area of Circle

  $$A\ =\pi r^2$$

  (B)

• Volume of Prism or Cylinder

  V = Bh

• Volume of a cone $$V\ =\ \frac{1}{3}Bh$$

• Volume of a Sphere $$V\ =\ \frac{4}{3}Bh^3$$

• Area of a rectanglel

  A = bh

Fill in the Blank

A silo is used to store grain that farm animals eat during the winter months. The top of the silo is a hemisphere (a half-sphere) with a radius of 8 feet. The cylindrical body of the silo shares the same radius as the hemisphere and has a height of 40 feet.

Now let's find the Volume of the Sphere.

$$V\ =\ \frac{4}{3}\pi r^3$$

(Keep your answer you will need it.)

.

Fill in the Blank

Since it is a half of a sphere, divide your number by 2.

(or you can multiply it by $$\frac{1}{2}$$ if you want)

Round to the nearest hundredth.

Keep that number

.

Fill in the Blank

Find the volume of the cylinder.

You must first find the area of the circle to get the Big B.

V = Bh

(round to the nearest hundredth)

.

Fill in the Blank

Now add the cylinder and the hemisphere.

1071.79 + 8038.4

.

Fill in the Blank

Find the Volume of the Truck

V = Bh or V = lwh

Fill in the Blank

Solve by dividing the volume of the silo by the volume of the truck.

Round up!

​STAAR Question

Multiple Choice

Which measurement is closest to the volume of the figure in cubic centimeters?

• A

• B

• C

• D

Fill in the Blank

Solve for volume.

(Round to the nearest foot)

Multiple Choice

Solve

• F

• G

• H

• J

Multiple Choice

Solve

• F

• G

• H

• J

Multiple Choice

Solve

• F

• G

• H

• J

Multiple Choice

Solve

• A

• B

• C

• D

Multiple Choice

Solve

• A

• B

• C

• D

Multiple Choice

Solve

• A

• B

• C

• D