GH Surface Area & Volume Review

The total surface area of a cylinder is 40π.

If the height is 8, find the radius.

• 2

• 3

• 4

• 5

Find the surface area.

• 65π cm²

• 90π cm²

• 85π cm²

• 100π cm²

What is the surface area of this composite figure?

• 60π cm ²

• 45π cm ²

• 57π cm ²

• 48π cm ²

What happens to the volume of a sphere if the radius is doubled?

• It gets 2x bigger

• It gets 4x bigger

• It gets 8x bigger

• It gets 16x bigger

A cylinder and a cone have the same radius and height. If the volume of the cone is 24π cm³, what is the volume of the cylinder?

• 24π cm³

• 72π cm³

• 8π cm³

• 243π cm³

Tags

CCSS.3.MD.A.2

Sixteen cylinders, each with a radius of 3 cm and a height of 9 cm, are placed neatly inside of a box as a single layer with 2 rows of 8 cylinders each. Find the volume of the box.

• 1296 cm³

• 2592 cm³

• 3054 cm³

• 5184 cm³

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

A ball is placed in a box where the ball touches each side of the box when closed. If the diameter of the ball is 12 inches, what is the volume of the space between the ball and the box?

• 823.22 in³

• 904.78 in³

• 2632.78 in³

• 5510.23 in³

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

Two spheres have a scale factor ratio of 1:3.  The smaller sphere has a surface area of 16 ft²_.  Find the surface area of the larger sphere.

• 48 ft²
• 144 ft²
• 432 ft²
• 32 ft²

Tags

CCSS.HSG.GMD.A.3

CCSS.8.G.C.9

The surface area of a certain pyramid is 54 square meters. Its volume is 648 cubic meters. If a similar pyramid has a volume of 8232 cubic meters, what is its surface area?

• 686 m²

• 168 m²

• 126 m²

• 294 m²

Tags

CCSS.7.G.B.6

A cone has a volume of 320π and height 15. Find the total surface area.