Measuring and estimating volume of miscellaneous shapes

What is the volume of the image. Round to the nearest whole number.

(a)  

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

President Jacquez wants to launch extra pointy nuclear bomb at the Pharoah's pyramids. The nuclear bombs are built in two parts; a cylinder and a cone. The height of the cylinder is 20ft and the height of the total bomb is 30ft. The diameter is 1/3 of the height of the whole bomb. What is the volume of the cone? (round to the nearest whole number)

(a)  

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

 $V_{total}=V_{cone}+V_{cylinder}$  V = ?


 $V_{total}=\frac{\pi r^2h}{3}+\pi r^2h$  Remember there are 2 different heights. Round to the nearest whole number. Use 3.14 for π.

• 1,356 m³

• 1,734 m³

• 377 m³

• 590 m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of the composite figure.  Round your answer to the nearest whole number.

• 1,356 m³
• 1,734 m³
• 377 m³
• 590 m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

What is the volume of the composite shape?

Use 3.14 for pi and round the answer to the nearest tenth.

(a)  

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume.

• 8,052 ft³

• 5,226 ft³

• 4,193 ft³

• 3,813 ft³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of the following shape.

• 4155.27 m³

• 1038.82 m³

• 804.24 m³

• 1005.31 m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The diagram shows the dimensions of a container in the shape of a cylinder with a lid in the shape of a hemisphere.

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

• 141.37 cubic cm.

• 197.92 cubic cm.

• 254.47 cubic cm.

• 311.02 cubic cm.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A frozen yogurt cone has a height of 12 cm and a diameter of 6cm. A scoop of frozen yogurt sits on the top of the cone. The scoop is a sphere with a diameter of 6 cm. If the entire scoop of frozen yogurt melts into the cone, will the cone overflow? Show work to back your reasoning.

• Yes

• No

• Uhhhh...maybe???

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume. DO NOT ROUND!

• 23,912.28 cm³

• 15,900.57 cm³

• 14,565.285 cm³

• 14,342.74 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3