Answer:
1. The volume of the cylinder is 263
.
2. The volume of the cylinder is 12
.
3. The volume of the cylinder is 3165.1
.
4. The radius of the cylinder is 3.6 cm.
5a. Area of the base is 50.2
.
5b. The curved surface area of the pencil holder is 351.7
.
5c. The surface are of the pencil holder is 452.2
.
Step-by-step explanation:
1. The given shape is a cylinder, so that;
volume of a cylinder = 
h
= 3.14 x
x 5.8
= 262.98128
The volume of the cylinder is 263
.
2. This is also a cylinder, but with a given diameter.
radius = 
=
= 0.6 m
volume of a cylinder = 
h
= 3.14 x
x 10.6
= 11.98224
The volume of the cylinder is 12
.
3. volume of a cylinder = 
h
= 3.14 x
x 28
= 3165.12
The volume of the cylinder is 3165.1
.
4. volume of a cylinder = 
h
239 = 3.14 x
x 6
239 = 18.84 
= 
= 12.6858
r = 
= 3.5617
The radius of the cylinder is 3.6 cm.
5. Area of the base = 

radius = 
=
= 4 cm
Area of the base = 3.14 x 
= 50.24
Area of the base is 50.2
.
5b. Area of the curved surface of the pencil holder = 2
rh
= 2 x 3.14 x 4 x 14
= 351.68
The curved surface area of the pencil holder is 351.7
.
5c. Surface area of the pencil holder = 2
rh + 2

= 2
r(h + r)
= 2 x 3.14 x 4 (14 + 4)
= 452.16
The surface are of the pencil holder is 452.2
.