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
h
                                   = 3.14 x  x 5.8
 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
 = 0.6 m
volume of a cylinder = 
 h
h
                                   = 3.14 x  x 10.6
 x 10.6
                                   = 11.98224
The volume of the cylinder is 12  .
.
3. volume of a cylinder = 
 h
h
                                       = 3.14 x  x 28
 x 28
                                       = 3165.12
The volume of the cylinder is 3165.1  .
.
4. volume of a cylinder = 
 h
h
239 = 3.14 x  x 6
 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
 = 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
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
rh + 2

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