Volume and surface area of solids

Advanced Math 7 · Unit 13 · volume-surface-3d

volume-surface-3d

Name ______________________________Date ______________

1.
A cylinder has radius $3$ cm and height $10$ cm. Its volume is $k\pi$ cm³. Enter $k$ .
Answer: ______________
2.
A cone has radius $6$ cm and height $8$ cm. Its total surface area is $k\pi$ cm². Enter $k$ .
Answer: ______________
3.
A grain silo is a cylinder of radius $3$ m and height $10$ m, topped by a hemisphere of radius $3$ m. The volume of the silo is $k\pi$ m³. Enter $k$ .
Answer: ______________
4.
A square pyramid has a base edge of $6$ cm and a height of $5$ cm. What is its volume?
1. (A)
  $10$ cm³
2. (B)
  $60$ cm³
3. (C)
  $90$ cm³
4. (D)
  $180$ cm³
5.
A cylindrical jug of radius $4$ cm is filled with water to a height of $9$ cm. All the water is poured into an empty cone-shaped glass of radius $6$ cm, which it exactly fills. What is the height of the cone, in cm?
1. (A)
  $4$
2. (B)
  $6$
3. (C)
  $9$
4. (D)
  $12$
5. (E)
  $36$