Radius Height Volume Ratio

The radii of two cylinders are in the ratio of 2:3 and their heights are in the ratio of 5:3. The ratio of their volumes is:

• 10: 17

• 20: 27

• 17: 27

• 20: 37

The radius of a hemispherical balloon increases from 6 cm to 12 cm as air is being pumped into it. The ratio of the surface areas of the balloon in the two cases is

• 1:4

• 1:3

• 2:3

• 2:1

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

A cone is 8.4 cm high and the radius of its base is 2.1 cm. It is melted and recast into a sphere. The radius of the sphere is

• 4.2 cm

• 2.4 cm

• 2.1 cm

• 1.6 cm

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

If a spherical balloon grows to twice its radius when inflated, then the ratio of the volume of the inflated balloon to the original balloon is

• 8:1

• 4:1

• 5:1

• 6:1

What is the volume of the cylinder? Express your exact answer in terms of π.

• 769.7 m³

• 245 m³

• 980π m³

• 70π m³

• 245π m³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

Calculate the Volume.

• 163 in³

• 18 in³

• 283in³

• 324 in³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The radius of a cylinder is doubled and the height remains the same. The ratio between the volumes of the new cylinder and the original cylinder is

• (a) 1 : 2

• (b) 3 : 1

• (c) 4 : 1

• (d) 1 : 8

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

The radii of two cones are in the ratio of 2:3 and their heights are in the ratio of 7:3. The ratio of their volumes is

• 20:9

• 28:9

• 29:29

• None of the above

If the radius of a sphere is doubled, then it volume will become how many times of its original volume

• two

• three

• six

• eight

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3

For Anya's birthday her father gave out colorful birthday hats that were cone shaped. The diameter of the circular base was 3 cm and the height of the cone was 7 cm. Anya fills her hat with candy. What is the approximate volume of candy?

• 16.49 cm³

• 65.97 cm³

• 55.63 cm³

• 18.19 cm³

Tags

CCSS.8.G.C.9

CCSS.HSG.GMD.A.3