Quiz 7 answer key
Math 1030-005 (Fall 2014)
1. Match the correct answer. (6 points) (1 yard = 3 feet; 1 yard2 = 9 feet2 ; 1 yard3 = 27 feet3 )
(1) (H) the volume of a sphere with radius 2 yard.
(2) (I) the volume of a cylinder with radius 2 yard and height 3 yard.
(3) (N) the surface area of a cylinder with radius 2 yard and height 3 yard.
(4) (K) the area of a parallelogram with base 3 yard and height 4 yard.
π feet3 . (C) 12π feet3 (D) 16π feet3 (E) 32π feet3 . (F) 108π feet3 .
Anwsers. (A) 43 π feet3 . (B) 32
3
(G) 144π feet3 . (H) 288π feet3 . (I) 324π feet3 . (J) 36 feet2 (K) 108 feet2 (L) 324 feet2 (M) 60π feet2
(N) 180π feet2 (O) 540π feet2 .
(1) 43 π(2)3 × 27 = 288π. (2) 2π(2)2 × 3 × 27 = 324π. (3) (π22 × 2 + 2π × 2 × 3) × 9 = 180π. (4)
3 × 4 × 9 = 108.
2. Find the degree measure of the angle that subtends 2/9 circle. (3 points)
Ans:
2
9
× 360◦ = 80◦ .
3. We have a toy model car and an actual car. The scale factor is 20: this means the actual car is 20
times as long, 20 times as wide, 20 times as tall. (1) If the surface area of the model car is 0.5 ft2 ,
what is the surface area of the actual car? (2) If the volume of the model car is 0.1 ft3 , what is the
surface area of the actual car? (1.5 points each)
Ans: (1) 0.5 ft2 × 202 = 200 ft2 . (2) 0.1 ft3 × 203 = 800 ft3 .