(8) Volume Quiz

Calculate the volume of a cylinder with a radius of 5 cm and a height of 10 cm.

• 785 cm³

• 500 cm³

• 150 cm³

• 250 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylinder has a volume of 200π cubic units. If the radius is 4 units, what is the height of the cylinder?

• 25 units

• 30 units

• 16 units

• 10 units

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Find the volume of a cone with a radius of 6 cm and a height of 8 cm.

• The volume of the cone is 96π cm³.

• The volume of the cone is 64π cm³.

• The volume of the cone is 48π cm³.

• The volume of the cone is 144π cm³.

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The volume of a cone is 100π cubic units. If the height is 10 units, what is the radius of the cone?

• 7.25 units

• 12.36 units

• 3.14 units

• 5.48 units

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Determine the volume of a sphere with a radius of 3 units.

• 56.52 cubic units

• 113.1 cubic units

• 20.1 cubic units

• 9.42 cubic units

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If the volume of a sphere is 36π cubic units, what is the radius of the sphere?

• 6 units

• 3 units

• 12 units

• 9 units

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylindrical tank has a volume of 500 cubic meters. If the radius is 5 meters, what is the height of the tank?

• 20 meters

• 10 meters

• 15 meters

• 25 meters

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cone-shaped tent has a volume of 1000 cubic feet. If the radius is 10 feet, what is the height of the tent?

• 30 feet

• 20 feet

• 50 feet

• 40 feet

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Explain the concept of volume and how it is different from surface area.

• Volume is the measure of the amount of space occupied by a three-dimensional object, while surface area is the measure of the length and width of the object.

• Volume is the measure of the amount of space occupied by a two-dimensional object, while surface area is the measure of the total area that the surface of the object covers.

• Volume is the measure of the amount of space occupied by a three-dimensional object, while surface area is the measure of the total area that the surface of the object covers.

• Volume is the measure of the total area that the surface of the object covers, while surface area is the measure of the amount of space occupied by a three-dimensional object.

Why is it important to understand the concept of volume in real-life applications?

• To accurately measure and quantify three-dimensional space in real-world scenarios.

• To estimate the weight of an object.

• To calculate the speed of a moving car.

• To accurately measure and quantify two-dimensional space in real-world scenarios.

Tags

CCSS.5.MD.C.3A

CCSS.5.MD.C.3B

CCSS.5.MD.C.4