Rectangle ABCD is congruent to rectangle A"B"C"D" .
2 answers:
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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 = 2rh
= 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 = 2rh + 2
= 2r(h + r)
= 2 x 3.14 x 4 (14 + 4)
= 452.16
The surface are of the pencil holder is 452.2 .