Surface Area and Volume of Cones, Cylinders, and Spheres

find the total surface area of the cylinder .

• 456.33m²

• 1445.1m²

• 1245.m²

• 6789m²

Find the Volume of the Cone

• 150.72 cm³

• 75.36 cm³

• 452.16 cm³

• 151 cm³

Find the volume of the Sphere

• 78.5 m³

• 392.5 m³

• 523.6 m³

• 62.8 cm³

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

• 21 cubic inches

• 63 cubic inches

• 66 cubic inches

• 198 cubic inches

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

Find the surface area of this cone if the slant height is 13 ft and the radius is 5ft.

• 65ft.²

• 219.91 ft.²

• 282.74ft.²

• 130ft.²

Find the surface area. Use 3.14 for pi.

• 164.9yd²

• 329.9yd²

• 612.6yd²

• 227.65yd²

A paper party hat, like the one shown, has a slant height of 6 inches and a height of 5 inches. How many square feet of cardboard would be needed to create this hat?

• 62.5 in.²

• 10 in.²

• 50 in.²

• 22.5 in.²

Label each figure with the correct volume.

b

c

d

217.8 sq. cm

1,436.8 cubic cm

628.3 cubic cm

200 cubic cm

Kayla has two spherical balls in her yard (see picture).Which statement about their volumes is true?

• The volume of Ball 2 is twice the volume of Ball 1.

• The volume of Ball 1 is 8 times the volume of Ball 2.

• The volume of Ball 1 is twice the volume of Ball 2.

• The volume of Ball 2 is 8 times the volume of Ball 1.