Volume and Similar Solids Quiz

What is the formula for the volume of a cylinder?

• V = π r² h

• V= 1/3 π r² h

• V= 4/3 π r³

• V= π d h

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cylinder has a radius of 5 cm and a height of 10 cm. What is its volume?

• 250π cm³

• 500π cm³

• 125π cm³

• 1000π cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The volume of a sphere is given by which formula?

• V= π r² h

• V= 4/3 π r³

• V= 1/3 π r² h

• V= 3/4 π r³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A sphere has a radius of 3 cm. What is its volume?

• 9π cm³

• 12π cm³

• 36π cm³

• 36π cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Two cones are similar with a scale factor of 3. If the smaller cone has a volume of 27 cm³, what is the volume of the larger cone?

• 81 cm³

• 243 cm³

• 729 cm³

• 54 cm³

Two similar spheres have radii of 4 cm and 8 cm. What is the ratio of their volumes?

• 2:1

• 4:1

• 8:1

• 16:1

If the height of a cone is doubled but the radius stays the same, how does the volume change?

• It stays the same

• It doubles

• It triples

• It quadruples

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cube and a sphere have the same volume. If the cube’s side length is doubled, how does the volume of the cube compare to the sphere?

• 2 times larger

• 4 times larger

• 6 times larger

• 8 times larger

Tags

CCSS.5.MD.C.5B

CCSS.6.G.A.2

A cylinder and a cone have the same base and height. How does their volume compare?

• The cone has 1/3 the volume of the cylinder

• The cone has 1/2 the volume of the cylinder

• The cone has the same volume as the cylinder

• The cylinder has 1/3 the volume of the cone

Tags

CCSS.3.MD.A.2

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

• 128.6 units³
• 1,286.1 units³
• 401.9 units³
• 5,144.6 units³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3