Geometry
Homework – chapters 11 & 12 – review 2
Name_______________________________
Show all work. Round answers to one decimal place when necessary.
1. Two similar solids have surface areas of 48 m2 and 147 m2. Find the ratio of their volumes.
2. Find the shaded area of the figure below.
3. A tower is formed by attaching a cone with a height of 30 feet onto a cylinder that has a radius of 40
feet and a height of 50 feet, as shown below. Find the surface area of the tower.
4. A building is constructed by topping a cylindrical can with a height of 20 feet and a base radius of 10 feet
with a semispherical solid as shown in the figure below. Find the approximate volume of this building.
Find the area and arc length of the shaded sector.
5.
C
6.
215
A
5 in.
A
75
17 cm
B
C
B
Find the surface area and volume of each figure.
7.
8.
9.
10. Solid I is similar to solid II. The surface areas of the solids are given. Find the value of x.