Surface Area of Prisms and Cylinders and Volume of Spheres Cones and Cylinders

When calculating the volume of the figure, to find the area of the base you should use...

• bh

• 2πr

• πr²

• r²

What is the surface area formula for a cylinder?

•  πrh + πr²

• = 2πrh + 2πr²

• = 4πr²

•  πr²

Campbell Soup is creating a new soup label. If a can has a height of 6 in and a diameter of 4 in, how much material does Campbell need for each soup label? Which formula can be used to find the surface area of the label?

• SA=2πrh+2r²

• SA=2πrh

• SA=Ph+2B

• V=Bh

What is the formula to calculate the volume of a cylinder?

• V = πr²h

• V = 4/3πr³

• V = πr²h/3

• V = πr³h

Find the volume of the given cone.

• 33 cm³

• 311.02 cm³

• 154 cm³

• 103.67 cm³

A cone is placed inside a cylinder.  The two figures have the same base area and the same height.  What is the volume of the cylinder that is not taken up by the cone?

• 314.16

• 471.24

• 235.62

• 157.08

Michael has a very large soup pot shaped like a cylinder that has a height of 15  inches and a radius of 6 inches. How much soup can Michael’s soup pot hold?

• 4239 in³

• 423.9 in³

• 1695.6 in³

•  1695.6 in²

A solid cone was placed in the center of a rectangular fish tank as shown. Which is closest to the maximum amount of water that the fish tank can hold?

• 1286 in³

• 1455 in³

• 1476 in³

• 1569 in³

What is the surface area of the triangular prism shown? 

• 468 in²

• 540 in²

• 576 in²

• 700 in²

Find the volume.

• 151.2

• 163.7

• 179.1

• 186.3